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Simplifying 2(x + 96) = 3(x + 80) Reorder the terms: 2(96 + x) = 3(x + 80) (96 * 2 + x * 2) = 3(x + 80) (192 + 2x) = 3(x + 80) Reorder the terms: 192 + 2x = 3(80 + x) 192 + 2x = (80 * 3 + x * 3) 192 + 2x = (240 + 3x) Solving 192 + 2x = 240 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 192 + 2x + -3x = 240 + 3x + -3x Combine like terms: 2x + -3x = -1x 192 + -1x = 240 + 3x + -3x Combine like terms: 3x + -3x = 0 192 + -1x = 240 + 0 192 + -1x = 240 Add '-192' to each side of the equation. 192 + -192 + -1x = 240 + -192 Combine like terms: 192 + -192 = 0 0 + -1x = 240 + -192 -1x = 240 + -192 Combine like terms: 240 + -192 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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