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Simplifying 3(2 + -1x) + -1(5x + 2) = 5 + 3(x + 4) (2 * 3 + -1x * 3) + -1(5x + 2) = 5 + 3(x + 4) (6 + -3x) + -1(5x + 2) = 5 + 3(x + 4) Reorder the terms: 6 + -3x + -1(2 + 5x) = 5 + 3(x + 4) 6 + -3x + (2 * -1 + 5x * -1) = 5 + 3(x + 4) 6 + -3x + (-2 + -5x) = 5 + 3(x + 4) Reorder the terms: 6 + -2 + -3x + -5x = 5 + 3(x + 4) Combine like terms: 6 + -2 = 4 4 + -3x + -5x = 5 + 3(x + 4) Combine like terms: -3x + -5x = -8x 4 + -8x = 5 + 3(x + 4) Reorder the terms: 4 + -8x = 5 + 3(4 + x) 4 + -8x = 5 + (4 * 3 + x * 3) 4 + -8x = 5 + (12 + 3x) Combine like terms: 5 + 12 = 17 4 + -8x = 17 + 3x Solving 4 + -8x = 17 + 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. 4 + -8x + -3x = 17 + 3x + -3x Combine like terms: -8x + -3x = -11x 4 + -11x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -11x = 17 + 0 4 + -11x = 17 Add '-4' to each side of the equation. 4 + -4 + -11x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 17 + -4 -11x = 17 + -4 Combine like terms: 17 + -4 = 13 -11x = 13 Divide each side by '-11'. x = -1.181818182 Simplifying x = -1.181818182
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