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Simplifying 0.5(2x + 5) = 0.33(5x + -3) Reorder the terms: 0.5(5 + 2x) = 0.33(5x + -3) (5 * 0.5 + 2x * 0.5) = 0.33(5x + -3) (2.5 + 1x) = 0.33(5x + -3) Reorder the terms: 2.5 + 1x = 0.33(-3 + 5x) 2.5 + 1x = (-3 * 0.33 + 5x * 0.33) 2.5 + 1x = (-0.99 + 1.65x) Solving 2.5 + 1x = -0.99 + 1.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65x' to each side of the equation. 2.5 + 1x + -1.65x = -0.99 + 1.65x + -1.65x Combine like terms: 1x + -1.65x = -0.65x 2.5 + -0.65x = -0.99 + 1.65x + -1.65x Combine like terms: 1.65x + -1.65x = 0.00 2.5 + -0.65x = -0.99 + 0.00 2.5 + -0.65x = -0.99 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.65x = -0.99 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.65x = -0.99 + -2.5 -0.65x = -0.99 + -2.5 Combine like terms: -0.99 + -2.5 = -3.49 -0.65x = -3.49 Divide each side by '-0.65'. x = 5.369230769 Simplifying x = 5.369230769
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