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Simplifying 3(9 + -1x) + 10 = -10(x + -2) + -8 (9 * 3 + -1x * 3) + 10 = -10(x + -2) + -8 (27 + -3x) + 10 = -10(x + -2) + -8 Reorder the terms: 27 + 10 + -3x = -10(x + -2) + -8 Combine like terms: 27 + 10 = 37 37 + -3x = -10(x + -2) + -8 Reorder the terms: 37 + -3x = -10(-2 + x) + -8 37 + -3x = (-2 * -10 + x * -10) + -8 37 + -3x = (20 + -10x) + -8 Reorder the terms: 37 + -3x = 20 + -8 + -10x Combine like terms: 20 + -8 = 12 37 + -3x = 12 + -10x Solving 37 + -3x = 12 + -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. 37 + -3x + 10x = 12 + -10x + 10x Combine like terms: -3x + 10x = 7x 37 + 7x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 37 + 7x = 12 + 0 37 + 7x = 12 Add '-37' to each side of the equation. 37 + -37 + 7x = 12 + -37 Combine like terms: 37 + -37 = 0 0 + 7x = 12 + -37 7x = 12 + -37 Combine like terms: 12 + -37 = -25 7x = -25 Divide each side by '7'. x = -3.571428571 Simplifying x = -3.571428571
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