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Simplifying 0.33x + -4 = 0.66(3x + -2) Reorder the terms: -4 + 0.33x = 0.66(3x + -2) Reorder the terms: -4 + 0.33x = 0.66(-2 + 3x) -4 + 0.33x = (-2 * 0.66 + 3x * 0.66) -4 + 0.33x = (-1.32 + 1.98x) Solving -4 + 0.33x = -1.32 + 1.98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.98x' to each side of the equation. -4 + 0.33x + -1.98x = -1.32 + 1.98x + -1.98x Combine like terms: 0.33x + -1.98x = -1.65x -4 + -1.65x = -1.32 + 1.98x + -1.98x Combine like terms: 1.98x + -1.98x = 0.00 -4 + -1.65x = -1.32 + 0.00 -4 + -1.65x = -1.32 Add '4' to each side of the equation. -4 + 4 + -1.65x = -1.32 + 4 Combine like terms: -4 + 4 = 0 0 + -1.65x = -1.32 + 4 -1.65x = -1.32 + 4 Combine like terms: -1.32 + 4 = 2.68 -1.65x = 2.68 Divide each side by '-1.65'. x = -1.624242424 Simplifying x = -1.624242424
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