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Simplifying 0.5(x + 300) = 0.65x + -205 Reorder the terms: 0.5(300 + x) = 0.65x + -205 (300 * 0.5 + x * 0.5) = 0.65x + -205 (150 + 0.5x) = 0.65x + -205 Reorder the terms: 150 + 0.5x = -205 + 0.65x Solving 150 + 0.5x = -205 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 150 + 0.5x + -0.65x = -205 + 0.65x + -0.65x Combine like terms: 0.5x + -0.65x = -0.15x 150 + -0.15x = -205 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 150 + -0.15x = -205 + 0.00 150 + -0.15x = -205 Add '-150' to each side of the equation. 150 + -150 + -0.15x = -205 + -150 Combine like terms: 150 + -150 = 0 0 + -0.15x = -205 + -150 -0.15x = -205 + -150 Combine like terms: -205 + -150 = -355 -0.15x = -355 Divide each side by '-0.15'. x = 2366.666667 Simplifying x = 2366.666667
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