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Simplifying 7(-3x + -8) + -8(-1(3x + -9) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) Reorder the terms: 7(-8 + -3x) + -8(-1(3x + -9) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) (-8 * 7 + -3x * 7) + -8(-1(3x + -9) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) (-56 + -21x) + -8(-1(3x + -9) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) Reorder the terms: -56 + -21x + -8(-1(-9 + 3x) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) -56 + -21x + -8((-9 * -1 + 3x * -1) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) -56 + -21x + -8((9 + -3x) + 7x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) Combine like terms: -3x + 7x = 4x -56 + -21x + -8(9 + 4x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) -56 + -21x + (9 * -8 + 4x * -8) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) -56 + -21x + (-72 + -32x) + (-6x + -8) = 9(-5x + 1) + 5(x + -4) Reorder the terms: -56 + -21x + -72 + -32x + (-8 + -6x) = 9(-5x + 1) + 5(x + -4) Remove parenthesis around (-8 + -6x) -56 + -21x + -72 + -32x + -8 + -6x = 9(-5x + 1) + 5(x + -4) Reorder the terms: -56 + -72 + -8 + -21x + -32x + -6x = 9(-5x + 1) + 5(x + -4) Combine like terms: -56 + -72 = -128 -128 + -8 + -21x + -32x + -6x = 9(-5x + 1) + 5(x + -4) Combine like terms: -128 + -8 = -136 -136 + -21x + -32x + -6x = 9(-5x + 1) + 5(x + -4) Combine like terms: -21x + -32x = -53x -136 + -53x + -6x = 9(-5x + 1) + 5(x + -4) Combine like terms: -53x + -6x = -59x -136 + -59x = 9(-5x + 1) + 5(x + -4) Reorder the terms: -136 + -59x = 9(1 + -5x) + 5(x + -4) -136 + -59x = (1 * 9 + -5x * 9) + 5(x + -4) -136 + -59x = (9 + -45x) + 5(x + -4) Reorder the terms: -136 + -59x = 9 + -45x + 5(-4 + x) -136 + -59x = 9 + -45x + (-4 * 5 + x * 5) -136 + -59x = 9 + -45x + (-20 + 5x) Reorder the terms: -136 + -59x = 9 + -20 + -45x + 5x Combine like terms: 9 + -20 = -11 -136 + -59x = -11 + -45x + 5x Combine like terms: -45x + 5x = -40x -136 + -59x = -11 + -40x Solving -136 + -59x = -11 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -136 + -59x + 40x = -11 + -40x + 40x Combine like terms: -59x + 40x = -19x -136 + -19x = -11 + -40x + 40x Combine like terms: -40x + 40x = 0 -136 + -19x = -11 + 0 -136 + -19x = -11 Add '136' to each side of the equation. -136 + 136 + -19x = -11 + 136 Combine like terms: -136 + 136 = 0 0 + -19x = -11 + 136 -19x = -11 + 136 Combine like terms: -11 + 136 = 125 -19x = 125 Divide each side by '-19'. x = -6.578947368 Simplifying x = -6.578947368
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