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Simplifying 41 + -29x + 15 + -7 = x + -19 + -32x Reorder the terms: 41 + 15 + -7 + -29x = x + -19 + -32x Combine like terms: 41 + 15 = 56 56 + -7 + -29x = x + -19 + -32x Combine like terms: 56 + -7 = 49 49 + -29x = x + -19 + -32x Reorder the terms: 49 + -29x = -19 + x + -32x Combine like terms: x + -32x = -31x 49 + -29x = -19 + -31x Solving 49 + -29x = -19 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. 49 + -29x + 31x = -19 + -31x + 31x Combine like terms: -29x + 31x = 2x 49 + 2x = -19 + -31x + 31x Combine like terms: -31x + 31x = 0 49 + 2x = -19 + 0 49 + 2x = -19 Add '-49' to each side of the equation. 49 + -49 + 2x = -19 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = -19 + -49 2x = -19 + -49 Combine like terms: -19 + -49 = -68 2x = -68 Divide each side by '2'. x = -34 Simplifying x = -34
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