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Simplifying 3(1x + 4) = 5x + -12 Reorder the terms: 3(4 + 1x) = 5x + -12 (4 * 3 + 1x * 3) = 5x + -12 (12 + 3x) = 5x + -12 Reorder the terms: 12 + 3x = -12 + 5x Solving 12 + 3x = -12 + 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 = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 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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