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Simplifying 3(x + 2) = 2(x + -4) Reorder the terms: 3(2 + x) = 2(x + -4) (2 * 3 + x * 3) = 2(x + -4) (6 + 3x) = 2(x + -4) Reorder the terms: 6 + 3x = 2(-4 + x) 6 + 3x = (-4 * 2 + x * 2) 6 + 3x = (-8 + 2x) Solving 6 + 3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = -8 + 0 6 + 1x = -8 Add '-6' to each side of the equation. 6 + -6 + 1x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -8 + -6 1x = -8 + -6 Combine like terms: -8 + -6 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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