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Simplifying 0.33(x + 3) = 0.66(x + -6) Reorder the terms: 0.33(3 + x) = 0.66(x + -6) (3 * 0.33 + x * 0.33) = 0.66(x + -6) (0.99 + 0.33x) = 0.66(x + -6) Reorder the terms: 0.99 + 0.33x = 0.66(-6 + x) 0.99 + 0.33x = (-6 * 0.66 + x * 0.66) 0.99 + 0.33x = (-3.96 + 0.66x) Solving 0.99 + 0.33x = -3.96 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 0.99 + 0.33x + -0.66x = -3.96 + 0.66x + -0.66x Combine like terms: 0.33x + -0.66x = -0.33x 0.99 + -0.33x = -3.96 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 0.99 + -0.33x = -3.96 + 0.00 0.99 + -0.33x = -3.96 Add '-0.99' to each side of the equation. 0.99 + -0.99 + -0.33x = -3.96 + -0.99 Combine like terms: 0.99 + -0.99 = 0.00 0.00 + -0.33x = -3.96 + -0.99 -0.33x = -3.96 + -0.99 Combine like terms: -3.96 + -0.99 = -4.95 -0.33x = -4.95 Divide each side by '-0.33'. x = 15 Simplifying x = 15
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