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Simplifying 2(4x + 6) = 8(10x + -12) Reorder the terms: 2(6 + 4x) = 8(10x + -12) (6 * 2 + 4x * 2) = 8(10x + -12) (12 + 8x) = 8(10x + -12) Reorder the terms: 12 + 8x = 8(-12 + 10x) 12 + 8x = (-12 * 8 + 10x * 8) 12 + 8x = (-96 + 80x) Solving 12 + 8x = -96 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 12 + 8x + -80x = -96 + 80x + -80x Combine like terms: 8x + -80x = -72x 12 + -72x = -96 + 80x + -80x Combine like terms: 80x + -80x = 0 12 + -72x = -96 + 0 12 + -72x = -96 Add '-12' to each side of the equation. 12 + -12 + -72x = -96 + -12 Combine like terms: 12 + -12 = 0 0 + -72x = -96 + -12 -72x = -96 + -12 Combine like terms: -96 + -12 = -108 -72x = -108 Divide each side by '-72'. x = 1.5 Simplifying x = 1.5
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