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Simplifying 3(2x + -4) = 4(x + -5) + 32 Reorder the terms: 3(-4 + 2x) = 4(x + -5) + 32 (-4 * 3 + 2x * 3) = 4(x + -5) + 32 (-12 + 6x) = 4(x + -5) + 32 Reorder the terms: -12 + 6x = 4(-5 + x) + 32 -12 + 6x = (-5 * 4 + x * 4) + 32 -12 + 6x = (-20 + 4x) + 32 Reorder the terms: -12 + 6x = -20 + 32 + 4x Combine like terms: -20 + 32 = 12 -12 + 6x = 12 + 4x Solving -12 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = 12 + 0 -12 + 2x = 12 Add '12' to each side of the equation. -12 + 12 + 2x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 12 + 12 2x = 12 + 12 Combine like terms: 12 + 12 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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