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Simplifying 9(x + 10) + -6 = -3(x + -5) Reorder the terms: 9(10 + x) + -6 = -3(x + -5) (10 * 9 + x * 9) + -6 = -3(x + -5) (90 + 9x) + -6 = -3(x + -5) Reorder the terms: 90 + -6 + 9x = -3(x + -5) Combine like terms: 90 + -6 = 84 84 + 9x = -3(x + -5) Reorder the terms: 84 + 9x = -3(-5 + x) 84 + 9x = (-5 * -3 + x * -3) 84 + 9x = (15 + -3x) Solving 84 + 9x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 84 + 9x + 3x = 15 + -3x + 3x Combine like terms: 9x + 3x = 12x 84 + 12x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 84 + 12x = 15 + 0 84 + 12x = 15 Add '-84' to each side of the equation. 84 + -84 + 12x = 15 + -84 Combine like terms: 84 + -84 = 0 0 + 12x = 15 + -84 12x = 15 + -84 Combine like terms: 15 + -84 = -69 12x = -69 Divide each side by '12'. x = -5.75 Simplifying x = -5.75
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