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Simplifying 2(x + -2) = 4(x + 3) + -1(3 + 2x) Reorder the terms: 2(-2 + x) = 4(x + 3) + -1(3 + 2x) (-2 * 2 + x * 2) = 4(x + 3) + -1(3 + 2x) (-4 + 2x) = 4(x + 3) + -1(3 + 2x) Reorder the terms: -4 + 2x = 4(3 + x) + -1(3 + 2x) -4 + 2x = (3 * 4 + x * 4) + -1(3 + 2x) -4 + 2x = (12 + 4x) + -1(3 + 2x) -4 + 2x = 12 + 4x + (3 * -1 + 2x * -1) -4 + 2x = 12 + 4x + (-3 + -2x) Reorder the terms: -4 + 2x = 12 + -3 + 4x + -2x Combine like terms: 12 + -3 = 9 -4 + 2x = 9 + 4x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 9 + 2x Add '-2x' to each side of the equation. -4 + 2x + -2x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 0 = 9 + 2x + -2x -4 = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 = 9 + 0 -4 = 9 Solving -4 = 9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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