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Simplifying 12 = 5(3x + -1) + 2 Reorder the terms: 12 = 5(-1 + 3x) + 2 12 = (-1 * 5 + 3x * 5) + 2 12 = (-5 + 15x) + 2 Reorder the terms: 12 = -5 + 2 + 15x Combine like terms: -5 + 2 = -3 12 = -3 + 15x Solving 12 = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + -15x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -15x = -3 + 0 12 + -15x = -3 Add '-12' to each side of the equation. 12 + -12 + -15x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = -3 + -12 -15x = -3 + -12 Combine like terms: -3 + -12 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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