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Simplifying 2(2x + 1) + -2(5 + -1x) = 29 Reorder the terms: 2(1 + 2x) + -2(5 + -1x) = 29 (1 * 2 + 2x * 2) + -2(5 + -1x) = 29 (2 + 4x) + -2(5 + -1x) = 29 2 + 4x + (5 * -2 + -1x * -2) = 29 2 + 4x + (-10 + 2x) = 29 Reorder the terms: 2 + -10 + 4x + 2x = 29 Combine like terms: 2 + -10 = -8 -8 + 4x + 2x = 29 Combine like terms: 4x + 2x = 6x -8 + 6x = 29 Solving -8 + 6x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6x = 29 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 29 + 8 6x = 29 + 8 Combine like terms: 29 + 8 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667
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