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Simplifying 0.9x + -0.02 = 0.5(3x + 1) + -0.6x Reorder the terms: -0.02 + 0.9x = 0.5(3x + 1) + -0.6x Reorder the terms: -0.02 + 0.9x = 0.5(1 + 3x) + -0.6x -0.02 + 0.9x = (1 * 0.5 + 3x * 0.5) + -0.6x -0.02 + 0.9x = (0.5 + 1.5x) + -0.6x Combine like terms: 1.5x + -0.6x = 0.9x -0.02 + 0.9x = 0.5 + 0.9x Add '-0.9x' to each side of the equation. -0.02 + 0.9x + -0.9x = 0.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.02 + 0.0 = 0.5 + 0.9x + -0.9x -0.02 = 0.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.02 = 0.5 + 0.0 -0.02 = 0.5 Solving -0.02 = 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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