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