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Simplifying -8 + -1(5x + -9) = -10x + 21 Reorder the terms: -8 + -1(-9 + 5x) = -10x + 21 -8 + (-9 * -1 + 5x * -1) = -10x + 21 -8 + (9 + -5x) = -10x + 21 Combine like terms: -8 + 9 = 1 1 + -5x = -10x + 21 Reorder the terms: 1 + -5x = 21 + -10x Solving 1 + -5x = 21 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1 + -5x + 10x = 21 + -10x + 10x Combine like terms: -5x + 10x = 5x 1 + 5x = 21 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 5x = 21 + 0 1 + 5x = 21 Add '-1' to each side of the equation. 1 + -1 + 5x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 21 + -1 5x = 21 + -1 Combine like terms: 21 + -1 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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