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Simplifying 8(x + 4) + -4x = 2(2x + 3) + -14 Reorder the terms: 8(4 + x) + -4x = 2(2x + 3) + -14 (4 * 8 + x * 8) + -4x = 2(2x + 3) + -14 (32 + 8x) + -4x = 2(2x + 3) + -14 Combine like terms: 8x + -4x = 4x 32 + 4x = 2(2x + 3) + -14 Reorder the terms: 32 + 4x = 2(3 + 2x) + -14 32 + 4x = (3 * 2 + 2x * 2) + -14 32 + 4x = (6 + 4x) + -14 Reorder the terms: 32 + 4x = 6 + -14 + 4x Combine like terms: 6 + -14 = -8 32 + 4x = -8 + 4x Add '-4x' to each side of the equation. 32 + 4x + -4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 0 = -8 + 4x + -4x 32 = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 32 = -8 + 0 32 = -8 Solving 32 = -8 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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