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Simplifying -9 = 1(5x + -8) + -16 + 10x Reorder the terms: -9 = 1(-8 + 5x) + -16 + 10x -9 = (-8 * 1 + 5x * 1) + -16 + 10x -9 = (-8 + 5x) + -16 + 10x Reorder the terms: -9 = -8 + -16 + 5x + 10x Combine like terms: -8 + -16 = -24 -9 = -24 + 5x + 10x Combine like terms: 5x + 10x = 15x -9 = -24 + 15x Solving -9 = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -9 + -15x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + -15x = -24 + 0 -9 + -15x = -24 Add '9' to each side of the equation. -9 + 9 + -15x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -15x = -24 + 9 -15x = -24 + 9 Combine like terms: -24 + 9 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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