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Simplifying 4(x + 2) + -2(x + -4) = 31 Reorder the terms: 4(2 + x) + -2(x + -4) = 31 (2 * 4 + x * 4) + -2(x + -4) = 31 (8 + 4x) + -2(x + -4) = 31 Reorder the terms: 8 + 4x + -2(-4 + x) = 31 8 + 4x + (-4 * -2 + x * -2) = 31 8 + 4x + (8 + -2x) = 31 Reorder the terms: 8 + 8 + 4x + -2x = 31 Combine like terms: 8 + 8 = 16 16 + 4x + -2x = 31 Combine like terms: 4x + -2x = 2x 16 + 2x = 31 Solving 16 + 2x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 31 + -16 2x = 31 + -16 Combine like terms: 31 + -16 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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