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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 = -1x -1x = 5x + -5x Combine like terms: 5x + -5x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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