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