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Simplifying 2(x + 4) = 3(x + -2) Reorder the terms: 2(4 + x) = 3(x + -2) (4 * 2 + x * 2) = 3(x + -2) (8 + 2x) = 3(x + -2) Reorder the terms: 8 + 2x = 3(-2 + x) 8 + 2x = (-2 * 3 + x * 3) 8 + 2x = (-6 + 3x) Solving 8 + 2x = -6 + 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. 8 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 8 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -1x = -6 + 0 8 + -1x = -6 Add '-8' to each side of the equation. 8 + -8 + -1x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -6 + -8 -1x = -6 + -8 Combine like terms: -6 + -8 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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