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Simplifying 0.33(x + 0.66) = 0.16(x + -4) Reorder the terms: 0.33(0.66 + x) = 0.16(x + -4) (0.66 * 0.33 + x * 0.33) = 0.16(x + -4) (0.2178 + 0.33x) = 0.16(x + -4) Reorder the terms: 0.2178 + 0.33x = 0.16(-4 + x) 0.2178 + 0.33x = (-4 * 0.16 + x * 0.16) 0.2178 + 0.33x = (-0.64 + 0.16x) Solving 0.2178 + 0.33x = -0.64 + 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. 0.2178 + 0.33x + -0.16x = -0.64 + 0.16x + -0.16x Combine like terms: 0.33x + -0.16x = 0.17x 0.2178 + 0.17x = -0.64 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 0.2178 + 0.17x = -0.64 + 0.00 0.2178 + 0.17x = -0.64 Add '-0.2178' to each side of the equation. 0.2178 + -0.2178 + 0.17x = -0.64 + -0.2178 Combine like terms: 0.2178 + -0.2178 = 0.0000 0.0000 + 0.17x = -0.64 + -0.2178 0.17x = -0.64 + -0.2178 Combine like terms: -0.64 + -0.2178 = -0.8578 0.17x = -0.8578 Divide each side by '0.17'. x = -5.045882353 Simplifying x = -5.045882353
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