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Simplifying 2(x + -1) + -1(x + -3) = 5 + -2(3x + 2) Reorder the terms: 2(-1 + x) + -1(x + -3) = 5 + -2(3x + 2) (-1 * 2 + x * 2) + -1(x + -3) = 5 + -2(3x + 2) (-2 + 2x) + -1(x + -3) = 5 + -2(3x + 2) Reorder the terms: -2 + 2x + -1(-3 + x) = 5 + -2(3x + 2) -2 + 2x + (-3 * -1 + x * -1) = 5 + -2(3x + 2) -2 + 2x + (3 + -1x) = 5 + -2(3x + 2) Reorder the terms: -2 + 3 + 2x + -1x = 5 + -2(3x + 2) Combine like terms: -2 + 3 = 1 1 + 2x + -1x = 5 + -2(3x + 2) Combine like terms: 2x + -1x = 1x 1 + 1x = 5 + -2(3x + 2) Reorder the terms: 1 + 1x = 5 + -2(2 + 3x) 1 + 1x = 5 + (2 * -2 + 3x * -2) 1 + 1x = 5 + (-4 + -6x) Combine like terms: 5 + -4 = 1 1 + 1x = 1 + -6x Add '-1' to each side of the equation. 1 + -1 + 1x = 1 + -1 + -6x Combine like terms: 1 + -1 = 0 0 + 1x = 1 + -1 + -6x 1x = 1 + -1 + -6x Combine like terms: 1 + -1 = 0 1x = 0 + -6x 1x = -6x Solving 1x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1x + 6x = -6x + 6x Combine like terms: 1x + 6x = 7x 7x = -6x + 6x Combine like terms: -6x + 6x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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