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Simplifying 3(x + -6) + -10 = 29x + -314 Reorder the terms: 3(-6 + x) + -10 = 29x + -314 (-6 * 3 + x * 3) + -10 = 29x + -314 (-18 + 3x) + -10 = 29x + -314 Reorder the terms: -18 + -10 + 3x = 29x + -314 Combine like terms: -18 + -10 = -28 -28 + 3x = 29x + -314 Reorder the terms: -28 + 3x = -314 + 29x Solving -28 + 3x = -314 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -28 + 3x + -29x = -314 + 29x + -29x Combine like terms: 3x + -29x = -26x -28 + -26x = -314 + 29x + -29x Combine like terms: 29x + -29x = 0 -28 + -26x = -314 + 0 -28 + -26x = -314 Add '28' to each side of the equation. -28 + 28 + -26x = -314 + 28 Combine like terms: -28 + 28 = 0 0 + -26x = -314 + 28 -26x = -314 + 28 Combine like terms: -314 + 28 = -286 -26x = -286 Divide each side by '-26'. x = 11 Simplifying x = 11
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