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Simplifying 0.75(4 + -1x) = 0.66(9 + -3x) (4 * 0.75 + -1x * 0.75) = 0.66(9 + -3x) (3 + -0.75x) = 0.66(9 + -3x) 3 + -0.75x = (9 * 0.66 + -3x * 0.66) 3 + -0.75x = (5.94 + -1.98x) Solving 3 + -0.75x = 5.94 + -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. 3 + -0.75x + 1.98x = 5.94 + -1.98x + 1.98x Combine like terms: -0.75x + 1.98x = 1.23x 3 + 1.23x = 5.94 + -1.98x + 1.98x Combine like terms: -1.98x + 1.98x = 0.00 3 + 1.23x = 5.94 + 0.00 3 + 1.23x = 5.94 Add '-3' to each side of the equation. 3 + -3 + 1.23x = 5.94 + -3 Combine like terms: 3 + -3 = 0 0 + 1.23x = 5.94 + -3 1.23x = 5.94 + -3 Combine like terms: 5.94 + -3 = 2.94 1.23x = 2.94 Divide each side by '1.23'. x = 2.390243902 Simplifying x = 2.390243902
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