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Simplifying 4(2x + 1) = 2(x + -1) + 6(x + 2) Reorder the terms: 4(1 + 2x) = 2(x + -1) + 6(x + 2) (1 * 4 + 2x * 4) = 2(x + -1) + 6(x + 2) (4 + 8x) = 2(x + -1) + 6(x + 2) Reorder the terms: 4 + 8x = 2(-1 + x) + 6(x + 2) 4 + 8x = (-1 * 2 + x * 2) + 6(x + 2) 4 + 8x = (-2 + 2x) + 6(x + 2) Reorder the terms: 4 + 8x = -2 + 2x + 6(2 + x) 4 + 8x = -2 + 2x + (2 * 6 + x * 6) 4 + 8x = -2 + 2x + (12 + 6x) Reorder the terms: 4 + 8x = -2 + 12 + 2x + 6x Combine like terms: -2 + 12 = 10 4 + 8x = 10 + 2x + 6x Combine like terms: 2x + 6x = 8x 4 + 8x = 10 + 8x Add '-8x' to each side of the equation. 4 + 8x + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 0 = 10 + 8x + -8x 4 = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 4 = 10 + 0 4 = 10 Solving 4 = 10 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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