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Simplifying 3x + -1(2 + -1x) = x + -2(x + 3) 3x + (2 * -1 + -1x * -1) = x + -2(x + 3) 3x + (-2 + 1x) = x + -2(x + 3) Reorder the terms: -2 + 3x + 1x = x + -2(x + 3) Combine like terms: 3x + 1x = 4x -2 + 4x = x + -2(x + 3) Reorder the terms: -2 + 4x = x + -2(3 + x) -2 + 4x = x + (3 * -2 + x * -2) -2 + 4x = x + (-6 + -2x) Reorder the terms: -2 + 4x = -6 + x + -2x Combine like terms: x + -2x = -1x -2 + 4x = -6 + -1x Solving -2 + 4x = -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 + 4x + x = -6 + -1x + x Combine like terms: 4x + x = 5x -2 + 5x = -6 + -1x + x Combine like terms: -1x + x = 0 -2 + 5x = -6 + 0 -2 + 5x = -6 Add '2' to each side of the equation. -2 + 2 + 5x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -6 + 2 5x = -6 + 2 Combine like terms: -6 + 2 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
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