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Simplifying 3 + -1(3x + -1) = 2(x + 5) + -1 Reorder the terms: 3 + -1(-1 + 3x) = 2(x + 5) + -1 3 + (-1 * -1 + 3x * -1) = 2(x + 5) + -1 3 + (1 + -3x) = 2(x + 5) + -1 Combine like terms: 3 + 1 = 4 4 + -3x = 2(x + 5) + -1 Reorder the terms: 4 + -3x = 2(5 + x) + -1 4 + -3x = (5 * 2 + x * 2) + -1 4 + -3x = (10 + 2x) + -1 Reorder the terms: 4 + -3x = 10 + -1 + 2x Combine like terms: 10 + -1 = 9 4 + -3x = 9 + 2x Solving 4 + -3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -3x + -2x = 9 + 2x + -2x Combine like terms: -3x + -2x = -5x 4 + -5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -5x = 9 + 0 4 + -5x = 9 Add '-4' to each side of the equation. 4 + -4 + -5x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 9 + -4 -5x = 9 + -4 Combine like terms: 9 + -4 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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