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Simplifying 8(x + -1) + -1(2 + 9x) = -2x Reorder the terms: 8(-1 + x) + -1(2 + 9x) = -2x (-1 * 8 + x * 8) + -1(2 + 9x) = -2x (-8 + 8x) + -1(2 + 9x) = -2x -8 + 8x + (2 * -1 + 9x * -1) = -2x -8 + 8x + (-2 + -9x) = -2x Reorder the terms: -8 + -2 + 8x + -9x = -2x Combine like terms: -8 + -2 = -10 -10 + 8x + -9x = -2x Combine like terms: 8x + -9x = -1x -10 + -1x = -2x Solving -10 + -1x = -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. -10 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x -10 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 1x = 0 Add '10' to each side of the equation. -10 + 10 + 1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 0 + 10 1x = 0 + 10 Combine like terms: 0 + 10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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