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Simplifying 4(x + 3) + -2x + 1 = 2(x + -1) Reorder the terms: 4(3 + x) + -2x + 1 = 2(x + -1) (3 * 4 + x * 4) + -2x + 1 = 2(x + -1) (12 + 4x) + -2x + 1 = 2(x + -1) Reorder the terms: 12 + 1 + 4x + -2x = 2(x + -1) Combine like terms: 12 + 1 = 13 13 + 4x + -2x = 2(x + -1) Combine like terms: 4x + -2x = 2x 13 + 2x = 2(x + -1) Reorder the terms: 13 + 2x = 2(-1 + x) 13 + 2x = (-1 * 2 + x * 2) 13 + 2x = (-2 + 2x) Add '-2x' to each side of the equation. 13 + 2x + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 0 = -2 + 2x + -2x 13 = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 13 = -2 + 0 13 = -2 Solving 13 = -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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