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Simplifying 12x + -2(x + -3) = 11 + -5(2x + -7) Reorder the terms: 12x + -2(-3 + x) = 11 + -5(2x + -7) 12x + (-3 * -2 + x * -2) = 11 + -5(2x + -7) 12x + (6 + -2x) = 11 + -5(2x + -7) Reorder the terms: 6 + 12x + -2x = 11 + -5(2x + -7) Combine like terms: 12x + -2x = 10x 6 + 10x = 11 + -5(2x + -7) Reorder the terms: 6 + 10x = 11 + -5(-7 + 2x) 6 + 10x = 11 + (-7 * -5 + 2x * -5) 6 + 10x = 11 + (35 + -10x) Combine like terms: 11 + 35 = 46 6 + 10x = 46 + -10x Solving 6 + 10x = 46 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 10x + 10x = 46 + -10x + 10x Combine like terms: 10x + 10x = 20x 6 + 20x = 46 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 20x = 46 + 0 6 + 20x = 46 Add '-6' to each side of the equation. 6 + -6 + 20x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = 46 + -6 20x = 46 + -6 Combine like terms: 46 + -6 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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