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Simplifying 0.6(x + 300) = 0.65x + -175 Reorder the terms: 0.6(300 + x) = 0.65x + -175 (300 * 0.6 + x * 0.6) = 0.65x + -175 (180 + 0.6x) = 0.65x + -175 Reorder the terms: 180 + 0.6x = -175 + 0.65x Solving 180 + 0.6x = -175 + 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. 180 + 0.6x + -0.65x = -175 + 0.65x + -0.65x Combine like terms: 0.6x + -0.65x = -0.05x 180 + -0.05x = -175 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 180 + -0.05x = -175 + 0.00 180 + -0.05x = -175 Add '-180' to each side of the equation. 180 + -180 + -0.05x = -175 + -180 Combine like terms: 180 + -180 = 0 0 + -0.05x = -175 + -180 -0.05x = -175 + -180 Combine like terms: -175 + -180 = -355 -0.05x = -355 Divide each side by '-0.05'. x = 7100 Simplifying x = 7100
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