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Simplifying -20(12x + -9) + 7x + -20 = -7(15x + 1) + 10x + -1 Reorder the terms: -20(-9 + 12x) + 7x + -20 = -7(15x + 1) + 10x + -1 (-9 * -20 + 12x * -20) + 7x + -20 = -7(15x + 1) + 10x + -1 (180 + -240x) + 7x + -20 = -7(15x + 1) + 10x + -1 Reorder the terms: 180 + -20 + -240x + 7x = -7(15x + 1) + 10x + -1 Combine like terms: 180 + -20 = 160 160 + -240x + 7x = -7(15x + 1) + 10x + -1 Combine like terms: -240x + 7x = -233x 160 + -233x = -7(15x + 1) + 10x + -1 Reorder the terms: 160 + -233x = -7(1 + 15x) + 10x + -1 160 + -233x = (1 * -7 + 15x * -7) + 10x + -1 160 + -233x = (-7 + -105x) + 10x + -1 Reorder the terms: 160 + -233x = -7 + -1 + -105x + 10x Combine like terms: -7 + -1 = -8 160 + -233x = -8 + -105x + 10x Combine like terms: -105x + 10x = -95x 160 + -233x = -8 + -95x Solving 160 + -233x = -8 + -95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '95x' to each side of the equation. 160 + -233x + 95x = -8 + -95x + 95x Combine like terms: -233x + 95x = -138x 160 + -138x = -8 + -95x + 95x Combine like terms: -95x + 95x = 0 160 + -138x = -8 + 0 160 + -138x = -8 Add '-160' to each side of the equation. 160 + -160 + -138x = -8 + -160 Combine like terms: 160 + -160 = 0 0 + -138x = -8 + -160 -138x = -8 + -160 Combine like terms: -8 + -160 = -168 -138x = -168 Divide each side by '-138'. x = 1.217391304 Simplifying x = 1.217391304
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