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Simplifying 3x + -1(2 + x) = 3x + (x + -3) 3x + (2 * -1 + x * -1) = 3x + (x + -3) 3x + (-2 + -1x) = 3x + (x + -3) Reorder the terms: -2 + 3x + -1x = 3x + (x + -3) Combine like terms: 3x + -1x = 2x -2 + 2x = 3x + (x + -3) Reorder the terms: -2 + 2x = 3x + (-3 + x) Remove parenthesis around (-3 + x) -2 + 2x = 3x + -3 + x Reorder the terms: -2 + 2x = -3 + 3x + x Combine like terms: 3x + x = 4x -2 + 2x = -3 + 4x Solving -2 + 2x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = -3 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = -3 + 0 -2 + -2x = -3 Add '2' to each side of the equation. -2 + 2 + -2x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -3 + 2 -2x = -3 + 2 Combine like terms: -3 + 2 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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