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Simplifying -4(x + 3) = 5x + -12 Reorder the terms: -4(3 + x) = 5x + -12 (3 * -4 + x * -4) = 5x + -12 (-12 + -4x) = 5x + -12 Reorder the terms: -12 + -4x = -12 + 5x Add '12' to each side of the equation. -12 + 12 + -4x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + -4x = -12 + 12 + 5x -4x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 -4x = 0 + 5x -4x = 5x Solving -4x = 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. -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x -9x = 5x + -5x Combine like terms: 5x + -5x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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