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Simplifying -5(-6x + 5) + -9x = 5(x + -6) + -9 Reorder the terms: -5(5 + -6x) + -9x = 5(x + -6) + -9 (5 * -5 + -6x * -5) + -9x = 5(x + -6) + -9 (-25 + 30x) + -9x = 5(x + -6) + -9 Combine like terms: 30x + -9x = 21x -25 + 21x = 5(x + -6) + -9 Reorder the terms: -25 + 21x = 5(-6 + x) + -9 -25 + 21x = (-6 * 5 + x * 5) + -9 -25 + 21x = (-30 + 5x) + -9 Reorder the terms: -25 + 21x = -30 + -9 + 5x Combine like terms: -30 + -9 = -39 -25 + 21x = -39 + 5x Solving -25 + 21x = -39 + 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. -25 + 21x + -5x = -39 + 5x + -5x Combine like terms: 21x + -5x = 16x -25 + 16x = -39 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 16x = -39 + 0 -25 + 16x = -39 Add '25' to each side of the equation. -25 + 25 + 16x = -39 + 25 Combine like terms: -25 + 25 = 0 0 + 16x = -39 + 25 16x = -39 + 25 Combine like terms: -39 + 25 = -14 16x = -14 Divide each side by '16'. x = -0.875 Simplifying x = -0.875
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