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Simplifying 3x + 2(x + -1) = 4 + -1(x + -2) Reorder the terms: 3x + 2(-1 + x) = 4 + -1(x + -2) 3x + (-1 * 2 + x * 2) = 4 + -1(x + -2) 3x + (-2 + 2x) = 4 + -1(x + -2) Reorder the terms: -2 + 3x + 2x = 4 + -1(x + -2) Combine like terms: 3x + 2x = 5x -2 + 5x = 4 + -1(x + -2) Reorder the terms: -2 + 5x = 4 + -1(-2 + x) -2 + 5x = 4 + (-2 * -1 + x * -1) -2 + 5x = 4 + (2 + -1x) Combine like terms: 4 + 2 = 6 -2 + 5x = 6 + -1x Solving -2 + 5x = 6 + -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 + 5x + x = 6 + -1x + x Combine like terms: 5x + x = 6x -2 + 6x = 6 + -1x + x Combine like terms: -1x + x = 0 -2 + 6x = 6 + 0 -2 + 6x = 6 Add '2' to each side of the equation. -2 + 2 + 6x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 6 + 2 6x = 6 + 2 Combine like terms: 6 + 2 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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