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Simplifying 7x + -1(x + -1) = 5x + -2(x + 5) Reorder the terms: 7x + -1(-1 + x) = 5x + -2(x + 5) 7x + (-1 * -1 + x * -1) = 5x + -2(x + 5) 7x + (1 + -1x) = 5x + -2(x + 5) Reorder the terms: 1 + 7x + -1x = 5x + -2(x + 5) Combine like terms: 7x + -1x = 6x 1 + 6x = 5x + -2(x + 5) Reorder the terms: 1 + 6x = 5x + -2(5 + x) 1 + 6x = 5x + (5 * -2 + x * -2) 1 + 6x = 5x + (-10 + -2x) Reorder the terms: 1 + 6x = -10 + 5x + -2x Combine like terms: 5x + -2x = 3x 1 + 6x = -10 + 3x Solving 1 + 6x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 6x + -3x = -10 + 3x + -3x Combine like terms: 6x + -3x = 3x 1 + 3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 3x = -10 + 0 1 + 3x = -10 Add '-1' to each side of the equation. 1 + -1 + 3x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -10 + -1 3x = -10 + -1 Combine like terms: -10 + -1 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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