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