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Simplifying -1(3x + 8) + -9x = 9x + 3(2x + 5) Reorder the terms: -1(8 + 3x) + -9x = 9x + 3(2x + 5) (8 * -1 + 3x * -1) + -9x = 9x + 3(2x + 5) (-8 + -3x) + -9x = 9x + 3(2x + 5) Combine like terms: -3x + -9x = -12x -8 + -12x = 9x + 3(2x + 5) Reorder the terms: -8 + -12x = 9x + 3(5 + 2x) -8 + -12x = 9x + (5 * 3 + 2x * 3) -8 + -12x = 9x + (15 + 6x) Reorder the terms: -8 + -12x = 15 + 9x + 6x Combine like terms: 9x + 6x = 15x -8 + -12x = 15 + 15x Solving -8 + -12x = 15 + 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. -8 + -12x + -15x = 15 + 15x + -15x Combine like terms: -12x + -15x = -27x -8 + -27x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -27x = 15 + 0 -8 + -27x = 15 Add '8' to each side of the equation. -8 + 8 + -27x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -27x = 15 + 8 -27x = 15 + 8 Combine like terms: 15 + 8 = 23 -27x = 23 Divide each side by '-27'. x = -0.8518518519 Simplifying x = -0.8518518519
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