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Simplifying 7x + -29 = 8x + -41 Reorder the terms: -29 + 7x = 8x + -41 Reorder the terms: -29 + 7x = -41 + 8x Solving -29 + 7x = -41 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -29 + 7x + -8x = -41 + 8x + -8x Combine like terms: 7x + -8x = -1x -29 + -1x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -1x = -41 + 0 -29 + -1x = -41 Add '29' to each side of the equation. -29 + 29 + -1x = -41 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = -41 + 29 -1x = -41 + 29 Combine like terms: -41 + 29 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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