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Simplifying 0.9x + -0.3(x + -6) = 0.6(x + -3) Reorder the terms: 0.9x + -0.3(-6 + x) = 0.6(x + -3) 0.9x + (-6 * -0.3 + x * -0.3) = 0.6(x + -3) 0.9x + (1.8 + -0.3x) = 0.6(x + -3) Reorder the terms: 1.8 + 0.9x + -0.3x = 0.6(x + -3) Combine like terms: 0.9x + -0.3x = 0.6x 1.8 + 0.6x = 0.6(x + -3) Reorder the terms: 1.8 + 0.6x = 0.6(-3 + x) 1.8 + 0.6x = (-3 * 0.6 + x * 0.6) 1.8 + 0.6x = (-1.8 + 0.6x) Add '-0.6x' to each side of the equation. 1.8 + 0.6x + -0.6x = -1.8 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.8 + 0.0 = -1.8 + 0.6x + -0.6x 1.8 = -1.8 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.8 = -1.8 + 0.0 1.8 = -1.8 Solving 1.8 = -1.8 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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