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Simplifying (x + -1) + -1(7x + -8) = 3 + -2x Reorder the terms: (-1 + x) + -1(7x + -8) = 3 + -2x Remove parenthesis around (-1 + x) -1 + x + -1(7x + -8) = 3 + -2x Reorder the terms: -1 + x + -1(-8 + 7x) = 3 + -2x -1 + x + (-8 * -1 + 7x * -1) = 3 + -2x -1 + x + (8 + -7x) = 3 + -2x Reorder the terms: -1 + 8 + x + -7x = 3 + -2x Combine like terms: -1 + 8 = 7 7 + x + -7x = 3 + -2x Combine like terms: x + -7x = -6x 7 + -6x = 3 + -2x Solving 7 + -6x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + -6x + 2x = 3 + -2x + 2x Combine like terms: -6x + 2x = -4x 7 + -4x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -4x = 3 + 0 7 + -4x = 3 Add '-7' to each side of the equation. 7 + -7 + -4x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 3 + -7 -4x = 3 + -7 Combine like terms: 3 + -7 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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