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