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Simplifying 9 = 2(x + 5) + -3(x + -4) + -10 Reorder the terms: 9 = 2(5 + x) + -3(x + -4) + -10 9 = (5 * 2 + x * 2) + -3(x + -4) + -10 9 = (10 + 2x) + -3(x + -4) + -10 Reorder the terms: 9 = 10 + 2x + -3(-4 + x) + -10 9 = 10 + 2x + (-4 * -3 + x * -3) + -10 9 = 10 + 2x + (12 + -3x) + -10 Reorder the terms: 9 = 10 + 12 + -10 + 2x + -3x Combine like terms: 10 + 12 = 22 9 = 22 + -10 + 2x + -3x Combine like terms: 22 + -10 = 12 9 = 12 + 2x + -3x Combine like terms: 2x + -3x = -1x 9 = 12 + -1x Solving 9 = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + x = 12 + -1x + x Combine like terms: -1x + x = 0 9 + x = 12 + 0 9 + x = 12 Add '-9' to each side of the equation. 9 + -9 + x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + x = 12 + -9 x = 12 + -9 Combine like terms: 12 + -9 = 3 x = 3 Simplifying x = 3
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