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Simplifying 10x + 30 + x = 34x + -17 + 6x + -40 Reorder the terms: 30 + 10x + x = 34x + -17 + 6x + -40 Combine like terms: 10x + x = 11x 30 + 11x = 34x + -17 + 6x + -40 Reorder the terms: 30 + 11x = -17 + -40 + 34x + 6x Combine like terms: -17 + -40 = -57 30 + 11x = -57 + 34x + 6x Combine like terms: 34x + 6x = 40x 30 + 11x = -57 + 40x Solving 30 + 11x = -57 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 30 + 11x + -40x = -57 + 40x + -40x Combine like terms: 11x + -40x = -29x 30 + -29x = -57 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -29x = -57 + 0 30 + -29x = -57 Add '-30' to each side of the equation. 30 + -30 + -29x = -57 + -30 Combine like terms: 30 + -30 = 0 0 + -29x = -57 + -30 -29x = -57 + -30 Combine like terms: -57 + -30 = -87 -29x = -87 Divide each side by '-29'. x = 3 Simplifying x = 3
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