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Simplifying 5x + 29 = -2x + 8 Reorder the terms: 29 + 5x = -2x + 8 Reorder the terms: 29 + 5x = 8 + -2x Solving 29 + 5x = 8 + -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 + 5x + 2x = 8 + -2x + 2x Combine like terms: 5x + 2x = 7x 29 + 7x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + 7x = 8 + 0 29 + 7x = 8 Add '-29' to each side of the equation. 29 + -29 + 7x = 8 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 8 + -29 7x = 8 + -29 Combine like terms: 8 + -29 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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