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Simplifying 2(9x + 7) + -8x = 2(5x + 4) + -12 Reorder the terms: 2(7 + 9x) + -8x = 2(5x + 4) + -12 (7 * 2 + 9x * 2) + -8x = 2(5x + 4) + -12 (14 + 18x) + -8x = 2(5x + 4) + -12 Combine like terms: 18x + -8x = 10x 14 + 10x = 2(5x + 4) + -12 Reorder the terms: 14 + 10x = 2(4 + 5x) + -12 14 + 10x = (4 * 2 + 5x * 2) + -12 14 + 10x = (8 + 10x) + -12 Reorder the terms: 14 + 10x = 8 + -12 + 10x Combine like terms: 8 + -12 = -4 14 + 10x = -4 + 10x Add '-10x' to each side of the equation. 14 + 10x + -10x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + 0 = -4 + 10x + -10x 14 = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 14 = -4 + 0 14 = -4 Solving 14 = -4 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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