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Simplifying -0.66(x + 2) = 0.16(x + 6) Reorder the terms: -0.66(2 + x) = 0.16(x + 6) (2 * -0.66 + x * -0.66) = 0.16(x + 6) (-1.32 + -0.66x) = 0.16(x + 6) Reorder the terms: -1.32 + -0.66x = 0.16(6 + x) -1.32 + -0.66x = (6 * 0.16 + x * 0.16) -1.32 + -0.66x = (0.96 + 0.16x) Solving -1.32 + -0.66x = 0.96 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. -1.32 + -0.66x + -0.16x = 0.96 + 0.16x + -0.16x Combine like terms: -0.66x + -0.16x = -0.82x -1.32 + -0.82x = 0.96 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 -1.32 + -0.82x = 0.96 + 0.00 -1.32 + -0.82x = 0.96 Add '1.32' to each side of the equation. -1.32 + 1.32 + -0.82x = 0.96 + 1.32 Combine like terms: -1.32 + 1.32 = 0.00 0.00 + -0.82x = 0.96 + 1.32 -0.82x = 0.96 + 1.32 Combine like terms: 0.96 + 1.32 = 2.28 -0.82x = 2.28 Divide each side by '-0.82'. x = -2.780487805 Simplifying x = -2.780487805
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