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Simplifying 8x + -1(1 + -1x) = 3x + -10 + -1(2x + 15) 8x + (1 * -1 + -1x * -1) = 3x + -10 + -1(2x + 15) 8x + (-1 + 1x) = 3x + -10 + -1(2x + 15) Reorder the terms: -1 + 8x + 1x = 3x + -10 + -1(2x + 15) Combine like terms: 8x + 1x = 9x -1 + 9x = 3x + -10 + -1(2x + 15) Reorder the terms: -1 + 9x = 3x + -10 + -1(15 + 2x) -1 + 9x = 3x + -10 + (15 * -1 + 2x * -1) -1 + 9x = 3x + -10 + (-15 + -2x) Reorder the terms: -1 + 9x = -10 + -15 + 3x + -2x Combine like terms: -10 + -15 = -25 -1 + 9x = -25 + 3x + -2x Combine like terms: 3x + -2x = 1x -1 + 9x = -25 + 1x Solving -1 + 9x = -25 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 9x + -1x = -25 + 1x + -1x Combine like terms: 9x + -1x = 8x -1 + 8x = -25 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 8x = -25 + 0 -1 + 8x = -25 Add '1' to each side of the equation. -1 + 1 + 8x = -25 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -25 + 1 8x = -25 + 1 Combine like terms: -25 + 1 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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