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Simplifying 3(x + -4) = x + 32 Reorder the terms: 3(-4 + x) = x + 32 (-4 * 3 + x * 3) = x + 32 (-12 + 3x) = x + 32 Reorder the terms: -12 + 3x = 32 + x Solving -12 + 3x = 32 + x 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. -12 + 3x + -1x = 32 + x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = 32 + x + -1x Combine like terms: x + -1x = 0 -12 + 2x = 32 + 0 -12 + 2x = 32 Add '12' to each side of the equation. -12 + 12 + 2x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 32 + 12 2x = 32 + 12 Combine like terms: 32 + 12 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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