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Simplifying 8(x + 4) + -2x = 3(2x + 4) + -17 Reorder the terms: 8(4 + x) + -2x = 3(2x + 4) + -17 (4 * 8 + x * 8) + -2x = 3(2x + 4) + -17 (32 + 8x) + -2x = 3(2x + 4) + -17 Combine like terms: 8x + -2x = 6x 32 + 6x = 3(2x + 4) + -17 Reorder the terms: 32 + 6x = 3(4 + 2x) + -17 32 + 6x = (4 * 3 + 2x * 3) + -17 32 + 6x = (12 + 6x) + -17 Reorder the terms: 32 + 6x = 12 + -17 + 6x Combine like terms: 12 + -17 = -5 32 + 6x = -5 + 6x Add '-6x' to each side of the equation. 32 + 6x + -6x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 0 = -5 + 6x + -6x 32 = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 32 = -5 + 0 32 = -5 Solving 32 = -5 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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