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Simplifying 3(x + -4) = -5(x + 2) + 32 Reorder the terms: 3(-4 + x) = -5(x + 2) + 32 (-4 * 3 + x * 3) = -5(x + 2) + 32 (-12 + 3x) = -5(x + 2) + 32 Reorder the terms: -12 + 3x = -5(2 + x) + 32 -12 + 3x = (2 * -5 + x * -5) + 32 -12 + 3x = (-10 + -5x) + 32 Reorder the terms: -12 + 3x = -10 + 32 + -5x Combine like terms: -10 + 32 = 22 -12 + 3x = 22 + -5x Solving -12 + 3x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 3x + 5x = 22 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = 22 + 0 -12 + 8x = 22 Add '12' to each side of the equation. -12 + 12 + 8x = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 22 + 12 8x = 22 + 12 Combine like terms: 22 + 12 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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