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Simplifying 8x + 29 = -2x + -51 Reorder the terms: 29 + 8x = -2x + -51 Reorder the terms: 29 + 8x = -51 + -2x Solving 29 + 8x = -51 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 29 + 8x + 2x = -51 + -2x + 2x Combine like terms: 8x + 2x = 10x 29 + 10x = -51 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + 10x = -51 + 0 29 + 10x = -51 Add '-29' to each side of the equation. 29 + -29 + 10x = -51 + -29 Combine like terms: 29 + -29 = 0 0 + 10x = -51 + -29 10x = -51 + -29 Combine like terms: -51 + -29 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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