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Simplifying 2x + 13 + 2x + -4 = 46 + -2x + 29 Reorder the terms: 13 + -4 + 2x + 2x = 46 + -2x + 29 Combine like terms: 13 + -4 = 9 9 + 2x + 2x = 46 + -2x + 29 Combine like terms: 2x + 2x = 4x 9 + 4x = 46 + -2x + 29 Reorder the terms: 9 + 4x = 46 + 29 + -2x Combine like terms: 46 + 29 = 75 9 + 4x = 75 + -2x Solving 9 + 4x = 75 + -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. 9 + 4x + 2x = 75 + -2x + 2x Combine like terms: 4x + 2x = 6x 9 + 6x = 75 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 6x = 75 + 0 9 + 6x = 75 Add '-9' to each side of the equation. 9 + -9 + 6x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 75 + -9 6x = 75 + -9 Combine like terms: 75 + -9 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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