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Simplifying 12x + 7 = 5(3x + -1) Reorder the terms: 7 + 12x = 5(3x + -1) Reorder the terms: 7 + 12x = 5(-1 + 3x) 7 + 12x = (-1 * 5 + 3x * 5) 7 + 12x = (-5 + 15x) Solving 7 + 12x = -5 + 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. 7 + 12x + -15x = -5 + 15x + -15x Combine like terms: 12x + -15x = -3x 7 + -3x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -3x = -5 + 0 7 + -3x = -5 Add '-7' to each side of the equation. 7 + -7 + -3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -5 + -7 -3x = -5 + -7 Combine like terms: -5 + -7 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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