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Simplifying -29 + 5x = -3x + 51 Reorder the terms: -29 + 5x = 51 + -3x Solving -29 + 5x = 51 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -29 + 5x + 3x = 51 + -3x + 3x Combine like terms: 5x + 3x = 8x -29 + 8x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + 8x = 51 + 0 -29 + 8x = 51 Add '29' to each side of the equation. -29 + 29 + 8x = 51 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = 51 + 29 8x = 51 + 29 Combine like terms: 51 + 29 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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