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Simplifying -8(x + 1) + -1(2x + -9) = 0 Reorder the terms: -8(1 + x) + -1(2x + -9) = 0 (1 * -8 + x * -8) + -1(2x + -9) = 0 (-8 + -8x) + -1(2x + -9) = 0 Reorder the terms: -8 + -8x + -1(-9 + 2x) = 0 -8 + -8x + (-9 * -1 + 2x * -1) = 0 -8 + -8x + (9 + -2x) = 0 Reorder the terms: -8 + 9 + -8x + -2x = 0 Combine like terms: -8 + 9 = 1 1 + -8x + -2x = 0 Combine like terms: -8x + -2x = -10x 1 + -10x = 0 Solving 1 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1
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