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Simplifying -7x + 1 = 8x + -29 Reorder the terms: 1 + -7x = 8x + -29 Reorder the terms: 1 + -7x = -29 + 8x Solving 1 + -7x = -29 + 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. 1 + -7x + -8x = -29 + 8x + -8x Combine like terms: -7x + -8x = -15x 1 + -15x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -15x = -29 + 0 1 + -15x = -29 Add '-1' to each side of the equation. 1 + -1 + -15x = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = -29 + -1 -15x = -29 + -1 Combine like terms: -29 + -1 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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