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Simplifying 4(x + 1) + -2(x + -1) = 29 Reorder the terms: 4(1 + x) + -2(x + -1) = 29 (1 * 4 + x * 4) + -2(x + -1) = 29 (4 + 4x) + -2(x + -1) = 29 Reorder the terms: 4 + 4x + -2(-1 + x) = 29 4 + 4x + (-1 * -2 + x * -2) = 29 4 + 4x + (2 + -2x) = 29 Reorder the terms: 4 + 2 + 4x + -2x = 29 Combine like terms: 4 + 2 = 6 6 + 4x + -2x = 29 Combine like terms: 4x + -2x = 2x 6 + 2x = 29 Solving 6 + 2x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 29 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 29 + -6 2x = 29 + -6 Combine like terms: 29 + -6 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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