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Simplifying 0.33(6x + -9) = 6(0.33x + -0.5) + 7 Reorder the terms: 0.33(-9 + 6x) = 6(0.33x + -0.5) + 7 (-9 * 0.33 + 6x * 0.33) = 6(0.33x + -0.5) + 7 (-2.97 + 1.98x) = 6(0.33x + -0.5) + 7 Reorder the terms: -2.97 + 1.98x = 6(-0.5 + 0.33x) + 7 -2.97 + 1.98x = (-0.5 * 6 + 0.33x * 6) + 7 -2.97 + 1.98x = (-3 + 1.98x) + 7 Reorder the terms: -2.97 + 1.98x = -3 + 7 + 1.98x Combine like terms: -3 + 7 = 4 -2.97 + 1.98x = 4 + 1.98x Add '-1.98x' to each side of the equation. -2.97 + 1.98x + -1.98x = 4 + 1.98x + -1.98x Combine like terms: 1.98x + -1.98x = 0.00 -2.97 + 0.00 = 4 + 1.98x + -1.98x -2.97 = 4 + 1.98x + -1.98x Combine like terms: 1.98x + -1.98x = 0.00 -2.97 = 4 + 0.00 -2.97 = 4 Solving -2.97 = 4 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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