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Simplifying 3(5 + -2x) + -1(8 + -6x) = -9 + 2(3x + 4) + -10 (5 * 3 + -2x * 3) + -1(8 + -6x) = -9 + 2(3x + 4) + -10 (15 + -6x) + -1(8 + -6x) = -9 + 2(3x + 4) + -10 15 + -6x + (8 * -1 + -6x * -1) = -9 + 2(3x + 4) + -10 15 + -6x + (-8 + 6x) = -9 + 2(3x + 4) + -10 Reorder the terms: 15 + -8 + -6x + 6x = -9 + 2(3x + 4) + -10 Combine like terms: 15 + -8 = 7 7 + -6x + 6x = -9 + 2(3x + 4) + -10 Combine like terms: -6x + 6x = 0 7 + 0 = -9 + 2(3x + 4) + -10 7 = -9 + 2(3x + 4) + -10 Reorder the terms: 7 = -9 + 2(4 + 3x) + -10 7 = -9 + (4 * 2 + 3x * 2) + -10 7 = -9 + (8 + 6x) + -10 Reorder the terms: 7 = -9 + 8 + -10 + 6x Combine like terms: -9 + 8 = -1 7 = -1 + -10 + 6x Combine like terms: -1 + -10 = -11 7 = -11 + 6x Solving 7 = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -6x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -6x = -11 + 0 7 + -6x = -11 Add '-7' to each side of the equation. 7 + -7 + -6x = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -11 + -7 -6x = -11 + -7 Combine like terms: -11 + -7 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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