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Simplifying 3(-2x + -7) + -9(-1(3x + -4) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) Reorder the terms: 3(-7 + -2x) + -9(-1(3x + -4) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) (-7 * 3 + -2x * 3) + -9(-1(3x + -4) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) (-21 + -6x) + -9(-1(3x + -4) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) Reorder the terms: -21 + -6x + -9(-1(-4 + 3x) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) -21 + -6x + -9((-4 * -1 + 3x * -1) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) -21 + -6x + -9((4 + -3x) + 6x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) Combine like terms: -3x + 6x = 3x -21 + -6x + -9(4 + 3x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) -21 + -6x + (4 * -9 + 3x * -9) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) -21 + -6x + (-36 + -27x) + (-6x + -8) = 9(-5x + 4) + 7(x + -2) Reorder the terms: -21 + -6x + -36 + -27x + (-8 + -6x) = 9(-5x + 4) + 7(x + -2) Remove parenthesis around (-8 + -6x) -21 + -6x + -36 + -27x + -8 + -6x = 9(-5x + 4) + 7(x + -2) Reorder the terms: -21 + -36 + -8 + -6x + -27x + -6x = 9(-5x + 4) + 7(x + -2) Combine like terms: -21 + -36 = -57 -57 + -8 + -6x + -27x + -6x = 9(-5x + 4) + 7(x + -2) Combine like terms: -57 + -8 = -65 -65 + -6x + -27x + -6x = 9(-5x + 4) + 7(x + -2) Combine like terms: -6x + -27x = -33x -65 + -33x + -6x = 9(-5x + 4) + 7(x + -2) Combine like terms: -33x + -6x = -39x -65 + -39x = 9(-5x + 4) + 7(x + -2) Reorder the terms: -65 + -39x = 9(4 + -5x) + 7(x + -2) -65 + -39x = (4 * 9 + -5x * 9) + 7(x + -2) -65 + -39x = (36 + -45x) + 7(x + -2) Reorder the terms: -65 + -39x = 36 + -45x + 7(-2 + x) -65 + -39x = 36 + -45x + (-2 * 7 + x * 7) -65 + -39x = 36 + -45x + (-14 + 7x) Reorder the terms: -65 + -39x = 36 + -14 + -45x + 7x Combine like terms: 36 + -14 = 22 -65 + -39x = 22 + -45x + 7x Combine like terms: -45x + 7x = -38x -65 + -39x = 22 + -38x Solving -65 + -39x = 22 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -65 + -39x + 38x = 22 + -38x + 38x Combine like terms: -39x + 38x = -1x -65 + -1x = 22 + -38x + 38x Combine like terms: -38x + 38x = 0 -65 + -1x = 22 + 0 -65 + -1x = 22 Add '65' to each side of the equation. -65 + 65 + -1x = 22 + 65 Combine like terms: -65 + 65 = 0 0 + -1x = 22 + 65 -1x = 22 + 65 Combine like terms: 22 + 65 = 87 -1x = 87 Divide each side by '-1'. x = -87 Simplifying x = -87
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