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