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Simplifying 2(x + -1) + -1(x + 3) = 5(x + 1) Reorder the terms: 2(-1 + x) + -1(x + 3) = 5(x + 1) (-1 * 2 + x * 2) + -1(x + 3) = 5(x + 1) (-2 + 2x) + -1(x + 3) = 5(x + 1) Reorder the terms: -2 + 2x + -1(3 + x) = 5(x + 1) -2 + 2x + (3 * -1 + x * -1) = 5(x + 1) -2 + 2x + (-3 + -1x) = 5(x + 1) Reorder the terms: -2 + -3 + 2x + -1x = 5(x + 1) Combine like terms: -2 + -3 = -5 -5 + 2x + -1x = 5(x + 1) Combine like terms: 2x + -1x = 1x -5 + 1x = 5(x + 1) Reorder the terms: -5 + 1x = 5(1 + x) -5 + 1x = (1 * 5 + x * 5) -5 + 1x = (5 + 5x) Solving -5 + 1x = 5 + 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 = 5 + 5x + -5x Combine like terms: 1x + -5x = -4x -5 + -4x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -4x = 5 + 0 -5 + -4x = 5 Add '5' to each side of the equation. -5 + 5 + -4x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 5 + 5 -4x = 5 + 5 Combine like terms: 5 + 5 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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