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Simplifying 7(1 + -1x) + -2(x + -1) = 5 + 3(1 + -1x) (1 * 7 + -1x * 7) + -2(x + -1) = 5 + 3(1 + -1x) (7 + -7x) + -2(x + -1) = 5 + 3(1 + -1x) Reorder the terms: 7 + -7x + -2(-1 + x) = 5 + 3(1 + -1x) 7 + -7x + (-1 * -2 + x * -2) = 5 + 3(1 + -1x) 7 + -7x + (2 + -2x) = 5 + 3(1 + -1x) Reorder the terms: 7 + 2 + -7x + -2x = 5 + 3(1 + -1x) Combine like terms: 7 + 2 = 9 9 + -7x + -2x = 5 + 3(1 + -1x) Combine like terms: -7x + -2x = -9x 9 + -9x = 5 + 3(1 + -1x) 9 + -9x = 5 + (1 * 3 + -1x * 3) 9 + -9x = 5 + (3 + -3x) Combine like terms: 5 + 3 = 8 9 + -9x = 8 + -3x Solving 9 + -9x = 8 + -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. 9 + -9x + 3x = 8 + -3x + 3x Combine like terms: -9x + 3x = -6x 9 + -6x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -6x = 8 + 0 9 + -6x = 8 Add '-9' to each side of the equation. 9 + -9 + -6x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = 8 + -9 -6x = 8 + -9 Combine like terms: 8 + -9 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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