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Simplifying 3x + 12 + -2 = 3(5x + 7) Reorder the terms: 12 + -2 + 3x = 3(5x + 7) Combine like terms: 12 + -2 = 10 10 + 3x = 3(5x + 7) Reorder the terms: 10 + 3x = 3(7 + 5x) 10 + 3x = (7 * 3 + 5x * 3) 10 + 3x = (21 + 15x) Solving 10 + 3x = 21 + 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. 10 + 3x + -15x = 21 + 15x + -15x Combine like terms: 3x + -15x = -12x 10 + -12x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -12x = 21 + 0 10 + -12x = 21 Add '-10' to each side of the equation. 10 + -10 + -12x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 21 + -10 -12x = 21 + -10 Combine like terms: 21 + -10 = 11 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667
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