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Simplifying 32 + 3(x + -4) = 8x + -40 Reorder the terms: 32 + 3(-4 + x) = 8x + -40 32 + (-4 * 3 + x * 3) = 8x + -40 32 + (-12 + 3x) = 8x + -40 Combine like terms: 32 + -12 = 20 20 + 3x = 8x + -40 Reorder the terms: 20 + 3x = -40 + 8x Solving 20 + 3x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 3x + -8x = -40 + 8x + -8x Combine like terms: 3x + -8x = -5x 20 + -5x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -5x = -40 + 0 20 + -5x = -40 Add '-20' to each side of the equation. 20 + -20 + -5x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -40 + -20 -5x = -40 + -20 Combine like terms: -40 + -20 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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