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Simplifying 2(x + -3) + -1(x + -1) = 3 + 5(x + 2) Reorder the terms: 2(-3 + x) + -1(x + -1) = 3 + 5(x + 2) (-3 * 2 + x * 2) + -1(x + -1) = 3 + 5(x + 2) (-6 + 2x) + -1(x + -1) = 3 + 5(x + 2) Reorder the terms: -6 + 2x + -1(-1 + x) = 3 + 5(x + 2) -6 + 2x + (-1 * -1 + x * -1) = 3 + 5(x + 2) -6 + 2x + (1 + -1x) = 3 + 5(x + 2) Reorder the terms: -6 + 1 + 2x + -1x = 3 + 5(x + 2) Combine like terms: -6 + 1 = -5 -5 + 2x + -1x = 3 + 5(x + 2) Combine like terms: 2x + -1x = 1x -5 + 1x = 3 + 5(x + 2) Reorder the terms: -5 + 1x = 3 + 5(2 + x) -5 + 1x = 3 + (2 * 5 + x * 5) -5 + 1x = 3 + (10 + 5x) Combine like terms: 3 + 10 = 13 -5 + 1x = 13 + 5x Solving -5 + 1x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 1x + -5x = 13 + 5x + -5x Combine like terms: 1x + -5x = -4x -5 + -4x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -4x = 13 + 0 -5 + -4x = 13 Add '5' to each side of the equation. -5 + 5 + -4x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 13 + 5 -4x = 13 + 5 Combine like terms: 13 + 5 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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