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Simplifying 1.66(12 + -6x) = 5(x + 4) (12 * 1.66 + -6x * 1.66) = 5(x + 4) (19.92 + -9.96x) = 5(x + 4) Reorder the terms: 19.92 + -9.96x = 5(4 + x) 19.92 + -9.96x = (4 * 5 + x * 5) 19.92 + -9.96x = (20 + 5x) Solving 19.92 + -9.96x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19.92 + -9.96x + -5x = 20 + 5x + -5x Combine like terms: -9.96x + -5x = -14.96x 19.92 + -14.96x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 19.92 + -14.96x = 20 + 0 19.92 + -14.96x = 20 Add '-19.92' to each side of the equation. 19.92 + -19.92 + -14.96x = 20 + -19.92 Combine like terms: 19.92 + -19.92 = 0.00 0.00 + -14.96x = 20 + -19.92 -14.96x = 20 + -19.92 Combine like terms: 20 + -19.92 = 0.08 -14.96x = 0.08 Divide each side by '-14.96'. x = -0.005347593583 Simplifying x = -0.005347593583
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