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Simplifying 2x + 2(4x + 10) = 5(2x + -4) Reorder the terms: 2x + 2(10 + 4x) = 5(2x + -4) 2x + (10 * 2 + 4x * 2) = 5(2x + -4) 2x + (20 + 8x) = 5(2x + -4) Reorder the terms: 20 + 2x + 8x = 5(2x + -4) Combine like terms: 2x + 8x = 10x 20 + 10x = 5(2x + -4) Reorder the terms: 20 + 10x = 5(-4 + 2x) 20 + 10x = (-4 * 5 + 2x * 5) 20 + 10x = (-20 + 10x) Add '-10x' to each side of the equation. 20 + 10x + -10x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 0 = -20 + 10x + -10x 20 = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 20 = -20 + 0 20 = -20 Solving 20 = -20 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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