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Simplifying 3x + -29 = 5x + 17 Reorder the terms: -29 + 3x = 5x + 17 Reorder the terms: -29 + 3x = 17 + 5x Solving -29 + 3x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -29 + 3x + -5x = 17 + 5x + -5x Combine like terms: 3x + -5x = -2x -29 + -2x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + -2x = 17 + 0 -29 + -2x = 17 Add '29' to each side of the equation. -29 + 29 + -2x = 17 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 17 + 29 -2x = 17 + 29 Combine like terms: 17 + 29 = 46 -2x = 46 Divide each side by '-2'. x = -23 Simplifying x = -23
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