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Simplifying 5 + -7(x + -1) = 5(2x + -1) Reorder the terms: 5 + -7(-1 + x) = 5(2x + -1) 5 + (-1 * -7 + x * -7) = 5(2x + -1) 5 + (7 + -7x) = 5(2x + -1) Combine like terms: 5 + 7 = 12 12 + -7x = 5(2x + -1) Reorder the terms: 12 + -7x = 5(-1 + 2x) 12 + -7x = (-1 * 5 + 2x * 5) 12 + -7x = (-5 + 10x) Solving 12 + -7x = -5 + 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. 12 + -7x + -10x = -5 + 10x + -10x Combine like terms: -7x + -10x = -17x 12 + -17x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -17x = -5 + 0 12 + -17x = -5 Add '-12' to each side of the equation. 12 + -12 + -17x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -17x = -5 + -12 -17x = -5 + -12 Combine like terms: -5 + -12 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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