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Simplifying 0.66(x + 6) = 0.50(x + -3) Reorder the terms: 0.66(6 + x) = 0.50(x + -3) (6 * 0.66 + x * 0.66) = 0.50(x + -3) (3.96 + 0.66x) = 0.50(x + -3) Reorder the terms: 3.96 + 0.66x = 0.50(-3 + x) 3.96 + 0.66x = (-3 * 0.50 + x * 0.50) 3.96 + 0.66x = (-1.5 + 0.50x) Solving 3.96 + 0.66x = -1.5 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 3.96 + 0.66x + -0.50x = -1.5 + 0.50x + -0.50x Combine like terms: 0.66x + -0.50x = 0.16x 3.96 + 0.16x = -1.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 3.96 + 0.16x = -1.5 + 0.00 3.96 + 0.16x = -1.5 Add '-3.96' to each side of the equation. 3.96 + -3.96 + 0.16x = -1.5 + -3.96 Combine like terms: 3.96 + -3.96 = 0.00 0.00 + 0.16x = -1.5 + -3.96 0.16x = -1.5 + -3.96 Combine like terms: -1.5 + -3.96 = -5.46 0.16x = -5.46 Divide each side by '0.16'. x = -34.125 Simplifying x = -34.125
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