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Simplifying 0.5(24x + -18) = 2(7x + -10) + -2x Reorder the terms: 0.5(-18 + 24x) = 2(7x + -10) + -2x (-18 * 0.5 + 24x * 0.5) = 2(7x + -10) + -2x (-9 + 12x) = 2(7x + -10) + -2x Reorder the terms: -9 + 12x = 2(-10 + 7x) + -2x -9 + 12x = (-10 * 2 + 7x * 2) + -2x -9 + 12x = (-20 + 14x) + -2x Combine like terms: 14x + -2x = 12x -9 + 12x = -20 + 12x Add '-12x' to each side of the equation. -9 + 12x + -12x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 0 = -20 + 12x + -12x -9 = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 = -20 + 0 -9 = -20 Solving -9 = -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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