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Simplifying 7x + 29 = 2(-1 + -8x) + -8x Reorder the terms: 29 + 7x = 2(-1 + -8x) + -8x 29 + 7x = (-1 * 2 + -8x * 2) + -8x 29 + 7x = (-2 + -16x) + -8x Combine like terms: -16x + -8x = -24x 29 + 7x = -2 + -24x Solving 29 + 7x = -2 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 29 + 7x + 24x = -2 + -24x + 24x Combine like terms: 7x + 24x = 31x 29 + 31x = -2 + -24x + 24x Combine like terms: -24x + 24x = 0 29 + 31x = -2 + 0 29 + 31x = -2 Add '-29' to each side of the equation. 29 + -29 + 31x = -2 + -29 Combine like terms: 29 + -29 = 0 0 + 31x = -2 + -29 31x = -2 + -29 Combine like terms: -2 + -29 = -31 31x = -31 Divide each side by '31'. x = -1 Simplifying x = -1
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