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Simplifying 5x + -29 = -2x + 47 Reorder the terms: -29 + 5x = -2x + 47 Reorder the terms: -29 + 5x = 47 + -2x Solving -29 + 5x = 47 + -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 = 47 + -2x + 2x Combine like terms: 5x + 2x = 7x -29 + 7x = 47 + -2x + 2x Combine like terms: -2x + 2x = 0 -29 + 7x = 47 + 0 -29 + 7x = 47 Add '29' to each side of the equation. -29 + 29 + 7x = 47 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = 47 + 29 7x = 47 + 29 Combine like terms: 47 + 29 = 76 7x = 76 Divide each side by '7'. x = 10.85714286 Simplifying x = 10.85714286
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