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Simplifying 2(3x + 1) + 2(x + -1) = 4(2x + 1) + -3 Reorder the terms: 2(1 + 3x) + 2(x + -1) = 4(2x + 1) + -3 (1 * 2 + 3x * 2) + 2(x + -1) = 4(2x + 1) + -3 (2 + 6x) + 2(x + -1) = 4(2x + 1) + -3 Reorder the terms: 2 + 6x + 2(-1 + x) = 4(2x + 1) + -3 2 + 6x + (-1 * 2 + x * 2) = 4(2x + 1) + -3 2 + 6x + (-2 + 2x) = 4(2x + 1) + -3 Reorder the terms: 2 + -2 + 6x + 2x = 4(2x + 1) + -3 Combine like terms: 2 + -2 = 0 0 + 6x + 2x = 4(2x + 1) + -3 6x + 2x = 4(2x + 1) + -3 Combine like terms: 6x + 2x = 8x 8x = 4(2x + 1) + -3 Reorder the terms: 8x = 4(1 + 2x) + -3 8x = (1 * 4 + 2x * 4) + -3 8x = (4 + 8x) + -3 Reorder the terms: 8x = 4 + -3 + 8x Combine like terms: 4 + -3 = 1 8x = 1 + 8x Add '-8x' to each side of the equation. 8x + -8x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 0 = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 0 = 1 + 0 0 = 1 Solving 0 = 1 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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