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Simplifying 5(2x + 6) + -2x = 8(x + 5) Reorder the terms: 5(6 + 2x) + -2x = 8(x + 5) (6 * 5 + 2x * 5) + -2x = 8(x + 5) (30 + 10x) + -2x = 8(x + 5) Combine like terms: 10x + -2x = 8x 30 + 8x = 8(x + 5) Reorder the terms: 30 + 8x = 8(5 + x) 30 + 8x = (5 * 8 + x * 8) 30 + 8x = (40 + 8x) Add '-8x' to each side of the equation. 30 + 8x + -8x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 0 = 40 + 8x + -8x 30 = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 30 = 40 + 0 30 = 40 Solving 30 = 40 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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