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Simplifying 0.33(6x + 5) + -0.22(3x + -9) = 0.66(2x + 1) Reorder the terms: 0.33(5 + 6x) + -0.22(3x + -9) = 0.66(2x + 1) (5 * 0.33 + 6x * 0.33) + -0.22(3x + -9) = 0.66(2x + 1) (1.65 + 1.98x) + -0.22(3x + -9) = 0.66(2x + 1) Reorder the terms: 1.65 + 1.98x + -0.22(-9 + 3x) = 0.66(2x + 1) 1.65 + 1.98x + (-9 * -0.22 + 3x * -0.22) = 0.66(2x + 1) 1.65 + 1.98x + (1.98 + -0.66x) = 0.66(2x + 1) Reorder the terms: 1.65 + 1.98 + 1.98x + -0.66x = 0.66(2x + 1) Combine like terms: 1.65 + 1.98 = 3.63 3.63 + 1.98x + -0.66x = 0.66(2x + 1) Combine like terms: 1.98x + -0.66x = 1.32x 3.63 + 1.32x = 0.66(2x + 1) Reorder the terms: 3.63 + 1.32x = 0.66(1 + 2x) 3.63 + 1.32x = (1 * 0.66 + 2x * 0.66) 3.63 + 1.32x = (0.66 + 1.32x) Add '-1.32x' to each side of the equation. 3.63 + 1.32x + -1.32x = 0.66 + 1.32x + -1.32x Combine like terms: 1.32x + -1.32x = 0.00 3.63 + 0.00 = 0.66 + 1.32x + -1.32x 3.63 = 0.66 + 1.32x + -1.32x Combine like terms: 1.32x + -1.32x = 0.00 3.63 = 0.66 + 0.00 3.63 = 0.66 Solving 3.63 = 0.66 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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