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Simplifying 2(x + -4) = 3x + 32 Reorder the terms: 2(-4 + x) = 3x + 32 (-4 * 2 + x * 2) = 3x + 32 (-8 + 2x) = 3x + 32 Reorder the terms: -8 + 2x = 32 + 3x Solving -8 + 2x = 32 + 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 = 32 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = 32 + 0 -8 + -1x = 32 Add '8' to each side of the equation. -8 + 8 + -1x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 32 + 8 -1x = 32 + 8 Combine like terms: 32 + 8 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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