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Simplifying 0.2(x + 1) + -5 = 0.5x + -0.3(1 + x) Reorder the terms: 0.2(1 + x) + -5 = 0.5x + -0.3(1 + x) (1 * 0.2 + x * 0.2) + -5 = 0.5x + -0.3(1 + x) (0.2 + 0.2x) + -5 = 0.5x + -0.3(1 + x) Reorder the terms: 0.2 + -5 + 0.2x = 0.5x + -0.3(1 + x) Combine like terms: 0.2 + -5 = -4.8 -4.8 + 0.2x = 0.5x + -0.3(1 + x) -4.8 + 0.2x = 0.5x + (1 * -0.3 + x * -0.3) -4.8 + 0.2x = 0.5x + (-0.3 + -0.3x) Reorder the terms: -4.8 + 0.2x = -0.3 + 0.5x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -4.8 + 0.2x = -0.3 + 0.2x Add '-0.2x' to each side of the equation. -4.8 + 0.2x + -0.2x = -0.3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4.8 + 0.0 = -0.3 + 0.2x + -0.2x -4.8 = -0.3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4.8 = -0.3 + 0.0 -4.8 = -0.3 Solving -4.8 = -0.3 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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