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Simplifying 10(x + 4) = 5(2x + 3) Reorder the terms: 10(4 + x) = 5(2x + 3) (4 * 10 + x * 10) = 5(2x + 3) (40 + 10x) = 5(2x + 3) Reorder the terms: 40 + 10x = 5(3 + 2x) 40 + 10x = (3 * 5 + 2x * 5) 40 + 10x = (15 + 10x) Add '-10x' to each side of the equation. 40 + 10x + -10x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 0 = 15 + 10x + -10x 40 = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 40 = 15 + 0 40 = 15 Solving 40 = 15 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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