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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 = 5x -8 + 5x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 5x = 32 + 0 -8 + 5x = 32 Add '8' to each side of the equation. -8 + 8 + 5x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 32 + 8 5x = 32 + 8 Combine like terms: 32 + 8 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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