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Simplifying 0.6x + 1 = 0.2(3x + -5) + 0.3 Reorder the terms: 1 + 0.6x = 0.2(3x + -5) + 0.3 Reorder the terms: 1 + 0.6x = 0.2(-5 + 3x) + 0.3 1 + 0.6x = (-5 * 0.2 + 3x * 0.2) + 0.3 1 + 0.6x = (-1 + 0.6x) + 0.3 Reorder the terms: 1 + 0.6x = -1 + 0.3 + 0.6x Combine like terms: -1 + 0.3 = -0.7 1 + 0.6x = -0.7 + 0.6x Add '-0.6x' to each side of the equation. 1 + 0.6x + -0.6x = -0.7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1 + 0.0 = -0.7 + 0.6x + -0.6x 1 = -0.7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1 = -0.7 + 0.0 1 = -0.7 Solving 1 = -0.7 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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