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Simplifying 8x + -1(5x + -9) = 5x + 11 Reorder the terms: 8x + -1(-9 + 5x) = 5x + 11 8x + (-9 * -1 + 5x * -1) = 5x + 11 8x + (9 + -5x) = 5x + 11 Reorder the terms: 9 + 8x + -5x = 5x + 11 Combine like terms: 8x + -5x = 3x 9 + 3x = 5x + 11 Reorder the terms: 9 + 3x = 11 + 5x Solving 9 + 3x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 3x + -5x = 11 + 5x + -5x Combine like terms: 3x + -5x = -2x 9 + -2x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -2x = 11 + 0 9 + -2x = 11 Add '-9' to each side of the equation. 9 + -9 + -2x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 11 + -9 -2x = 11 + -9 Combine like terms: 11 + -9 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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