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Simplifying 3(x + 2) + -1(5x + 1) = -2x + -5(-1x + -2) Reorder the terms: 3(2 + x) + -1(5x + 1) = -2x + -5(-1x + -2) (2 * 3 + x * 3) + -1(5x + 1) = -2x + -5(-1x + -2) (6 + 3x) + -1(5x + 1) = -2x + -5(-1x + -2) Reorder the terms: 6 + 3x + -1(1 + 5x) = -2x + -5(-1x + -2) 6 + 3x + (1 * -1 + 5x * -1) = -2x + -5(-1x + -2) 6 + 3x + (-1 + -5x) = -2x + -5(-1x + -2) Reorder the terms: 6 + -1 + 3x + -5x = -2x + -5(-1x + -2) Combine like terms: 6 + -1 = 5 5 + 3x + -5x = -2x + -5(-1x + -2) Combine like terms: 3x + -5x = -2x 5 + -2x = -2x + -5(-1x + -2) Reorder the terms: 5 + -2x = -2x + -5(-2 + -1x) 5 + -2x = -2x + (-2 * -5 + -1x * -5) 5 + -2x = -2x + (10 + 5x) Reorder the terms: 5 + -2x = 10 + -2x + 5x Combine like terms: -2x + 5x = 3x 5 + -2x = 10 + 3x Solving 5 + -2x = 10 + 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. 5 + -2x + -3x = 10 + 3x + -3x Combine like terms: -2x + -3x = -5x 5 + -5x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -5x = 10 + 0 5 + -5x = 10 Add '-5' to each side of the equation. 5 + -5 + -5x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 10 + -5 -5x = 10 + -5 Combine like terms: 10 + -5 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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