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