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Simplifying 2(1 + -7x) + 3x = 7 + -1(x + -5) (1 * 2 + -7x * 2) + 3x = 7 + -1(x + -5) (2 + -14x) + 3x = 7 + -1(x + -5) Combine like terms: -14x + 3x = -11x 2 + -11x = 7 + -1(x + -5) Reorder the terms: 2 + -11x = 7 + -1(-5 + x) 2 + -11x = 7 + (-5 * -1 + x * -1) 2 + -11x = 7 + (5 + -1x) Combine like terms: 7 + 5 = 12 2 + -11x = 12 + -1x Solving 2 + -11x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -11x + x = 12 + -1x + x Combine like terms: -11x + x = -10x 2 + -10x = 12 + -1x + x Combine like terms: -1x + x = 0 2 + -10x = 12 + 0 2 + -10x = 12 Add '-2' to each side of the equation. 2 + -2 + -10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 12 + -2 -10x = 12 + -2 Combine like terms: 12 + -2 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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