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Simplifying -0.20(x + -12) + 0.33(x + 3) = x + 18 Reorder the terms: -0.20(-12 + x) + 0.33(x + 3) = x + 18 (-12 * -0.20 + x * -0.20) + 0.33(x + 3) = x + 18 (2.4 + -0.20x) + 0.33(x + 3) = x + 18 Reorder the terms: 2.4 + -0.20x + 0.33(3 + x) = x + 18 2.4 + -0.20x + (3 * 0.33 + x * 0.33) = x + 18 2.4 + -0.20x + (0.99 + 0.33x) = x + 18 Reorder the terms: 2.4 + 0.99 + -0.20x + 0.33x = x + 18 Combine like terms: 2.4 + 0.99 = 3.39 3.39 + -0.20x + 0.33x = x + 18 Combine like terms: -0.20x + 0.33x = 0.13x 3.39 + 0.13x = x + 18 Reorder the terms: 3.39 + 0.13x = 18 + x Solving 3.39 + 0.13x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.39 + 0.13x + -1x = 18 + x + -1x Combine like terms: 0.13x + -1x = -0.87x 3.39 + -0.87x = 18 + x + -1x Combine like terms: x + -1x = 0 3.39 + -0.87x = 18 + 0 3.39 + -0.87x = 18 Add '-3.39' to each side of the equation. 3.39 + -3.39 + -0.87x = 18 + -3.39 Combine like terms: 3.39 + -3.39 = 0.00 0.00 + -0.87x = 18 + -3.39 -0.87x = 18 + -3.39 Combine like terms: 18 + -3.39 = 14.61 -0.87x = 14.61 Divide each side by '-0.87'. x = -16.79310345 Simplifying x = -16.79310345
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