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Simplifying 6(x + 4) + 8 = 8x + -2(x + -4) Reorder the terms: 6(4 + x) + 8 = 8x + -2(x + -4) (4 * 6 + x * 6) + 8 = 8x + -2(x + -4) (24 + 6x) + 8 = 8x + -2(x + -4) Reorder the terms: 24 + 8 + 6x = 8x + -2(x + -4) Combine like terms: 24 + 8 = 32 32 + 6x = 8x + -2(x + -4) Reorder the terms: 32 + 6x = 8x + -2(-4 + x) 32 + 6x = 8x + (-4 * -2 + x * -2) 32 + 6x = 8x + (8 + -2x) Reorder the terms: 32 + 6x = 8 + 8x + -2x Combine like terms: 8x + -2x = 6x 32 + 6x = 8 + 6x Add '-6x' to each side of the equation. 32 + 6x + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 0 = 8 + 6x + -6x 32 = 8 + 6x + -6x Combine like terms: 6x + -6x = 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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