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Simplifying 0.8x + -0.3(x + 10) = 0.5(x + 1) Reorder the terms: 0.8x + -0.3(10 + x) = 0.5(x + 1) 0.8x + (10 * -0.3 + x * -0.3) = 0.5(x + 1) 0.8x + (-3 + -0.3x) = 0.5(x + 1) Reorder the terms: -3 + 0.8x + -0.3x = 0.5(x + 1) Combine like terms: 0.8x + -0.3x = 0.5x -3 + 0.5x = 0.5(x + 1) Reorder the terms: -3 + 0.5x = 0.5(1 + x) -3 + 0.5x = (1 * 0.5 + x * 0.5) -3 + 0.5x = (0.5 + 0.5x) Add '-0.5x' to each side of the equation. -3 + 0.5x + -0.5x = 0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 0.0 = 0.5 + 0.5x + -0.5x -3 = 0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 = 0.5 + 0.0 -3 = 0.5 Solving -3 = 0.5 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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