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Simplifying 7 + 5(1 + -1x) = -1(-6 + 7x) 7 + (1 * 5 + -1x * 5) = -1(-6 + 7x) 7 + (5 + -5x) = -1(-6 + 7x) Combine like terms: 7 + 5 = 12 12 + -5x = -1(-6 + 7x) 12 + -5x = (-6 * -1 + 7x * -1) 12 + -5x = (6 + -7x) Solving 12 + -5x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -5x + 7x = 6 + -7x + 7x Combine like terms: -5x + 7x = 2x 12 + 2x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 2x = 6 + 0 12 + 2x = 6 Add '-12' to each side of the equation. 12 + -12 + 2x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 6 + -12 2x = 6 + -12 Combine like terms: 6 + -12 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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