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Simplifying 4x + -29 = -1x + 46 Reorder the terms: -29 + 4x = -1x + 46 Reorder the terms: -29 + 4x = 46 + -1x Solving -29 + 4x = 46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -29 + 4x + x = 46 + -1x + x Combine like terms: 4x + x = 5x -29 + 5x = 46 + -1x + x Combine like terms: -1x + x = 0 -29 + 5x = 46 + 0 -29 + 5x = 46 Add '29' to each side of the equation. -29 + 29 + 5x = 46 + 29 Combine like terms: -29 + 29 = 0 0 + 5x = 46 + 29 5x = 46 + 29 Combine like terms: 46 + 29 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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