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Simplifying 3(4 + -1x) + 2(x + 7) = 11x + -2 (4 * 3 + -1x * 3) + 2(x + 7) = 11x + -2 (12 + -3x) + 2(x + 7) = 11x + -2 Reorder the terms: 12 + -3x + 2(7 + x) = 11x + -2 12 + -3x + (7 * 2 + x * 2) = 11x + -2 12 + -3x + (14 + 2x) = 11x + -2 Reorder the terms: 12 + 14 + -3x + 2x = 11x + -2 Combine like terms: 12 + 14 = 26 26 + -3x + 2x = 11x + -2 Combine like terms: -3x + 2x = -1x 26 + -1x = 11x + -2 Reorder the terms: 26 + -1x = -2 + 11x Solving 26 + -1x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 26 + -1x + -11x = -2 + 11x + -11x Combine like terms: -1x + -11x = -12x 26 + -12x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 26 + -12x = -2 + 0 26 + -12x = -2 Add '-26' to each side of the equation. 26 + -26 + -12x = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = -2 + -26 -12x = -2 + -26 Combine like terms: -2 + -26 = -28 -12x = -28 Divide each side by '-12'. x = 2.333333333 Simplifying x = 2.333333333
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