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Simplifying 5 = 3(x + -4) + 2 + -2x Reorder the terms: 5 = 3(-4 + x) + 2 + -2x 5 = (-4 * 3 + x * 3) + 2 + -2x 5 = (-12 + 3x) + 2 + -2x Reorder the terms: 5 = -12 + 2 + 3x + -2x Combine like terms: -12 + 2 = -10 5 = -10 + 3x + -2x Combine like terms: 3x + -2x = 1x 5 = -10 + 1x Solving 5 = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -1x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -1x = -10 + 0 5 + -1x = -10 Add '-5' to each side of the equation. 5 + -5 + -1x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -10 + -5 -1x = -10 + -5 Combine like terms: -10 + -5 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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