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Simplifying -1(5x + -2x) + -1 = 8 + (-1x + 7) Combine like terms: 5x + -2x = 3x -1(3x) + -1 = 8 + (-1x + 7) Remove parenthesis around (3x) -1 * 3x + -1 = 8 + (-1x + 7) Multiply -1 * 3 -3x + -1 = 8 + (-1x + 7) Reorder the terms: -1 + -3x = 8 + (-1x + 7) Reorder the terms: -1 + -3x = 8 + (7 + -1x) Remove parenthesis around (7 + -1x) -1 + -3x = 8 + 7 + -1x Combine like terms: 8 + 7 = 15 -1 + -3x = 15 + -1x Solving -1 + -3x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + -3x + x = 15 + -1x + x Combine like terms: -3x + x = -2x -1 + -2x = 15 + -1x + x Combine like terms: -1x + x = 0 -1 + -2x = 15 + 0 -1 + -2x = 15 Add '1' to each side of the equation. -1 + 1 + -2x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 15 + 1 -2x = 15 + 1 Combine like terms: 15 + 1 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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