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Simplifying 4(x + 2) + -2 = 3 + 2x + 2(x + 3) Reorder the terms: 4(2 + x) + -2 = 3 + 2x + 2(x + 3) (2 * 4 + x * 4) + -2 = 3 + 2x + 2(x + 3) (8 + 4x) + -2 = 3 + 2x + 2(x + 3) Reorder the terms: 8 + -2 + 4x = 3 + 2x + 2(x + 3) Combine like terms: 8 + -2 = 6 6 + 4x = 3 + 2x + 2(x + 3) Reorder the terms: 6 + 4x = 3 + 2x + 2(3 + x) 6 + 4x = 3 + 2x + (3 * 2 + x * 2) 6 + 4x = 3 + 2x + (6 + 2x) Reorder the terms: 6 + 4x = 3 + 6 + 2x + 2x Combine like terms: 3 + 6 = 9 6 + 4x = 9 + 2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 9 + 4x Add '-4x' to each side of the equation. 6 + 4x + -4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 0 = 9 + 4x + -4x 6 = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 6 = 9 + 0 6 = 9 Solving 6 = 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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