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Simplifying 0.5(3x + -9) + 20 = 0.5(3x + -49) Reorder the terms: 0.5(-9 + 3x) + 20 = 0.5(3x + -49) (-9 * 0.5 + 3x * 0.5) + 20 = 0.5(3x + -49) (-4.5 + 1.5x) + 20 = 0.5(3x + -49) Reorder the terms: -4.5 + 20 + 1.5x = 0.5(3x + -49) Combine like terms: -4.5 + 20 = 15.5 15.5 + 1.5x = 0.5(3x + -49) Reorder the terms: 15.5 + 1.5x = 0.5(-49 + 3x) 15.5 + 1.5x = (-49 * 0.5 + 3x * 0.5) 15.5 + 1.5x = (-24.5 + 1.5x) Add '-1.5x' to each side of the equation. 15.5 + 1.5x + -1.5x = -24.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 15.5 + 0.0 = -24.5 + 1.5x + -1.5x 15.5 = -24.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 15.5 = -24.5 + 0.0 15.5 = -24.5 Solving 15.5 = -24.5 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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