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