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Simplifying 0.2(x + 1) + -0.5x = -0.3(x + -4) Reorder the terms: 0.2(1 + x) + -0.5x = -0.3(x + -4) (1 * 0.2 + x * 0.2) + -0.5x = -0.3(x + -4) (0.2 + 0.2x) + -0.5x = -0.3(x + -4) Combine like terms: 0.2x + -0.5x = -0.3x 0.2 + -0.3x = -0.3(x + -4) Reorder the terms: 0.2 + -0.3x = -0.3(-4 + x) 0.2 + -0.3x = (-4 * -0.3 + x * -0.3) 0.2 + -0.3x = (1.2 + -0.3x) Add '0.3x' to each side of the equation. 0.2 + -0.3x + 0.3x = 1.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.2 + 0.0 = 1.2 + -0.3x + 0.3x 0.2 = 1.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.2 = 1.2 + 0.0 0.2 = 1.2 Solving 0.2 = 1.2 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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