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Simplifying 5(4x + 6) = 10(2x + -5) Reorder the terms: 5(6 + 4x) = 10(2x + -5) (6 * 5 + 4x * 5) = 10(2x + -5) (30 + 20x) = 10(2x + -5) Reorder the terms: 30 + 20x = 10(-5 + 2x) 30 + 20x = (-5 * 10 + 2x * 10) 30 + 20x = (-50 + 20x) Add '-20x' to each side of the equation. 30 + 20x + -20x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 0 = -50 + 20x + -20x 30 = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 30 = -50 + 0 30 = -50 Solving 30 = -50 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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