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Simplifying 5(2x + 4) + -3(4x + -6) = 2(20 + -1x) Reorder the terms: 5(4 + 2x) + -3(4x + -6) = 2(20 + -1x) (4 * 5 + 2x * 5) + -3(4x + -6) = 2(20 + -1x) (20 + 10x) + -3(4x + -6) = 2(20 + -1x) Reorder the terms: 20 + 10x + -3(-6 + 4x) = 2(20 + -1x) 20 + 10x + (-6 * -3 + 4x * -3) = 2(20 + -1x) 20 + 10x + (18 + -12x) = 2(20 + -1x) Reorder the terms: 20 + 18 + 10x + -12x = 2(20 + -1x) Combine like terms: 20 + 18 = 38 38 + 10x + -12x = 2(20 + -1x) Combine like terms: 10x + -12x = -2x 38 + -2x = 2(20 + -1x) 38 + -2x = (20 * 2 + -1x * 2) 38 + -2x = (40 + -2x) Add '2x' to each side of the equation. 38 + -2x + 2x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + 0 = 40 + -2x + 2x 38 = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 38 = 40 + 0 38 = 40 Solving 38 = 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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