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Simplifying 5x + -29 = -14x + 10 + 6x Reorder the terms: -29 + 5x = -14x + 10 + 6x Reorder the terms: -29 + 5x = 10 + -14x + 6x Combine like terms: -14x + 6x = -8x -29 + 5x = 10 + -8x Solving -29 + 5x = 10 + -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. -29 + 5x + 8x = 10 + -8x + 8x Combine like terms: 5x + 8x = 13x -29 + 13x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -29 + 13x = 10 + 0 -29 + 13x = 10 Add '29' to each side of the equation. -29 + 29 + 13x = 10 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = 10 + 29 13x = 10 + 29 Combine like terms: 10 + 29 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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