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Simplifying 0.5(x + -3) = 0.33(x + 3) Reorder the terms: 0.5(-3 + x) = 0.33(x + 3) (-3 * 0.5 + x * 0.5) = 0.33(x + 3) (-1.5 + 0.5x) = 0.33(x + 3) Reorder the terms: -1.5 + 0.5x = 0.33(3 + x) -1.5 + 0.5x = (3 * 0.33 + x * 0.33) -1.5 + 0.5x = (0.99 + 0.33x) Solving -1.5 + 0.5x = 0.99 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. -1.5 + 0.5x + -0.33x = 0.99 + 0.33x + -0.33x Combine like terms: 0.5x + -0.33x = 0.17x -1.5 + 0.17x = 0.99 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 -1.5 + 0.17x = 0.99 + 0.00 -1.5 + 0.17x = 0.99 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.17x = 0.99 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.17x = 0.99 + 1.5 0.17x = 0.99 + 1.5 Combine like terms: 0.99 + 1.5 = 2.49 0.17x = 2.49 Divide each side by '0.17'. x = 14.64705882 Simplifying x = 14.64705882
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