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Simplifying -3x + 12 = 5(3 + -1x) + 7 Reorder the terms: 12 + -3x = 5(3 + -1x) + 7 12 + -3x = (3 * 5 + -1x * 5) + 7 12 + -3x = (15 + -5x) + 7 Reorder the terms: 12 + -3x = 15 + 7 + -5x Combine like terms: 15 + 7 = 22 12 + -3x = 22 + -5x Solving 12 + -3x = 22 + -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 = 22 + -5x + 5x Combine like terms: -3x + 5x = 2x 12 + 2x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 2x = 22 + 0 12 + 2x = 22 Add '-12' to each side of the equation. 12 + -12 + 2x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 22 + -12 2x = 22 + -12 Combine like terms: 22 + -12 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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