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Simplifying 41 + -1(2x + 12) = 2(x + 7) + x Reorder the terms: 41 + -1(12 + 2x) = 2(x + 7) + x 41 + (12 * -1 + 2x * -1) = 2(x + 7) + x 41 + (-12 + -2x) = 2(x + 7) + x Combine like terms: 41 + -12 = 29 29 + -2x = 2(x + 7) + x Reorder the terms: 29 + -2x = 2(7 + x) + x 29 + -2x = (7 * 2 + x * 2) + x 29 + -2x = (14 + 2x) + x Combine like terms: 2x + x = 3x 29 + -2x = 14 + 3x Solving 29 + -2x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x 29 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + -5x = 14 + 0 29 + -5x = 14 Add '-29' to each side of the equation. 29 + -29 + -5x = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -5x = 14 + -29 -5x = 14 + -29 Combine like terms: 14 + -29 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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