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Simplifying 12x + -2(x + -2) = 3(5x + -7) Reorder the terms: 12x + -2(-2 + x) = 3(5x + -7) 12x + (-2 * -2 + x * -2) = 3(5x + -7) 12x + (4 + -2x) = 3(5x + -7) Reorder the terms: 4 + 12x + -2x = 3(5x + -7) Combine like terms: 12x + -2x = 10x 4 + 10x = 3(5x + -7) Reorder the terms: 4 + 10x = 3(-7 + 5x) 4 + 10x = (-7 * 3 + 5x * 3) 4 + 10x = (-21 + 15x) Solving 4 + 10x = -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. 4 + 10x + -15x = -21 + 15x + -15x Combine like terms: 10x + -15x = -5x 4 + -5x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -5x = -21 + 0 4 + -5x = -21 Add '-4' to each side of the equation. 4 + -4 + -5x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -21 + -4 -5x = -21 + -4 Combine like terms: -21 + -4 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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