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