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Simplifying 1(x + 12) = 3x + 24 + -1x Reorder the terms: 1(12 + x) = 3x + 24 + -1x (12 * 1 + x * 1) = 3x + 24 + -1x (12 + 1x) = 3x + 24 + -1x Reorder the terms: 12 + 1x = 24 + 3x + -1x Combine like terms: 3x + -1x = 2x 12 + 1x = 24 + 2x Solving 12 + 1x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 1x + -2x = 24 + 2x + -2x Combine like terms: 1x + -2x = -1x 12 + -1x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -1x = 24 + 0 12 + -1x = 24 Add '-12' to each side of the equation. 12 + -12 + -1x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 24 + -12 -1x = 24 + -12 Combine like terms: 24 + -12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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