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Simplifying 4(x + 2) = 10 + -2(3 + -2x) Reorder the terms: 4(2 + x) = 10 + -2(3 + -2x) (2 * 4 + x * 4) = 10 + -2(3 + -2x) (8 + 4x) = 10 + -2(3 + -2x) 8 + 4x = 10 + (3 * -2 + -2x * -2) 8 + 4x = 10 + (-6 + 4x) Combine like terms: 10 + -6 = 4 8 + 4x = 4 + 4x Add '-4x' to each side of the equation. 8 + 4x + -4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 0 = 4 + 4x + -4x 8 = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 = 4 + 0 8 = 4 Solving 8 = 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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