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Simplifying 8(12x + -3) + 5(-1(-6x + -4) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) Reorder the terms: 8(-3 + 12x) + 5(-1(-6x + -4) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) (-3 * 8 + 12x * 8) + 5(-1(-6x + -4) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) (-24 + 96x) + 5(-1(-6x + -4) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) Reorder the terms: -24 + 96x + 5(-1(-4 + -6x) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) -24 + 96x + 5((-4 * -1 + -6x * -1) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) -24 + 96x + 5((4 + 6x) + 7x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) Combine like terms: 6x + 7x = 13x -24 + 96x + 5(4 + 13x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) -24 + 96x + (4 * 5 + 13x * 5) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) -24 + 96x + (20 + 65x) + (-3x + -8) = 9((-9x + 3) + 9(x + -5)) Reorder the terms: -24 + 96x + 20 + 65x + (-8 + -3x) = 9((-9x + 3) + 9(x + -5)) Remove parenthesis around (-8 + -3x) -24 + 96x + 20 + 65x + -8 + -3x = 9((-9x + 3) + 9(x + -5)) Reorder the terms: -24 + 20 + -8 + 96x + 65x + -3x = 9((-9x + 3) + 9(x + -5)) Combine like terms: -24 + 20 = -4 -4 + -8 + 96x + 65x + -3x = 9((-9x + 3) + 9(x + -5)) Combine like terms: -4 + -8 = -12 -12 + 96x + 65x + -3x = 9((-9x + 3) + 9(x + -5)) Combine like terms: 96x + 65x = 161x -12 + 161x + -3x = 9((-9x + 3) + 9(x + -5)) Combine like terms: 161x + -3x = 158x -12 + 158x = 9((-9x + 3) + 9(x + -5)) Reorder the terms: -12 + 158x = 9((3 + -9x) + 9(x + -5)) Remove parenthesis around (3 + -9x) -12 + 158x = 9(3 + -9x + 9(x + -5)) Reorder the terms: -12 + 158x = 9(3 + -9x + 9(-5 + x)) -12 + 158x = 9(3 + -9x + (-5 * 9 + x * 9)) -12 + 158x = 9(3 + -9x + (-45 + 9x)) Reorder the terms: -12 + 158x = 9(3 + -45 + -9x + 9x) Combine like terms: 3 + -45 = -42 -12 + 158x = 9(-42 + -9x + 9x) Combine like terms: -9x + 9x = 0 -12 + 158x = 9(-42 + 0) -12 + 158x = 9(-42) Multiply 9 * -42 -12 + 158x = -378 Solving -12 + 158x = -378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 158x = -378 + 12 Combine like terms: -12 + 12 = 0 0 + 158x = -378 + 12 158x = -378 + 12 Combine like terms: -378 + 12 = -366 158x = -366 Divide each side by '158'. x = -2.316455696 Simplifying x = -2.316455696
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