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Simplifying x + -2(3 + -1x) = 2x + 3(1 + -1x) x + (3 * -2 + -1x * -2) = 2x + 3(1 + -1x) x + (-6 + 2x) = 2x + 3(1 + -1x) Reorder the terms: -6 + x + 2x = 2x + 3(1 + -1x) Combine like terms: x + 2x = 3x -6 + 3x = 2x + 3(1 + -1x) -6 + 3x = 2x + (1 * 3 + -1x * 3) -6 + 3x = 2x + (3 + -3x) Reorder the terms: -6 + 3x = 3 + 2x + -3x Combine like terms: 2x + -3x = -1x -6 + 3x = 3 + -1x Solving -6 + 3x = 3 + -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. -6 + 3x + x = 3 + -1x + x Combine like terms: 3x + x = 4x -6 + 4x = 3 + -1x + x Combine like terms: -1x + x = 0 -6 + 4x = 3 + 0 -6 + 4x = 3 Add '6' to each side of the equation. -6 + 6 + 4x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 3 + 6 4x = 3 + 6 Combine like terms: 3 + 6 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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