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Simplifying 6(2 + -5x) * 12 = (-4x + -5) * 7 Reorder the terms for easier multiplication: 6 * 12(2 + -5x) = (-4x + -5) * 7 Multiply 6 * 12 72(2 + -5x) = (-4x + -5) * 7 (2 * 72 + -5x * 72) = (-4x + -5) * 7 (144 + -360x) = (-4x + -5) * 7 Reorder the terms: 144 + -360x = (-5 + -4x) * 7 Reorder the terms for easier multiplication: 144 + -360x = 7(-5 + -4x) 144 + -360x = (-5 * 7 + -4x * 7) 144 + -360x = (-35 + -28x) Solving 144 + -360x = -35 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 144 + -360x + 28x = -35 + -28x + 28x Combine like terms: -360x + 28x = -332x 144 + -332x = -35 + -28x + 28x Combine like terms: -28x + 28x = 0 144 + -332x = -35 + 0 144 + -332x = -35 Add '-144' to each side of the equation. 144 + -144 + -332x = -35 + -144 Combine like terms: 144 + -144 = 0 0 + -332x = -35 + -144 -332x = -35 + -144 Combine like terms: -35 + -144 = -179 -332x = -179 Divide each side by '-332'. x = 0.5391566265 Simplifying x = 0.5391566265
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