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Simplifying 0.5(x + 300) = 0.55x + -230 Reorder the terms: 0.5(300 + x) = 0.55x + -230 (300 * 0.5 + x * 0.5) = 0.55x + -230 (150 + 0.5x) = 0.55x + -230 Reorder the terms: 150 + 0.5x = -230 + 0.55x Solving 150 + 0.5x = -230 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 150 + 0.5x + -0.55x = -230 + 0.55x + -0.55x Combine like terms: 0.5x + -0.55x = -0.05x 150 + -0.05x = -230 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 150 + -0.05x = -230 + 0.00 150 + -0.05x = -230 Add '-150' to each side of the equation. 150 + -150 + -0.05x = -230 + -150 Combine like terms: 150 + -150 = 0 0 + -0.05x = -230 + -150 -0.05x = -230 + -150 Combine like terms: -230 + -150 = -380 -0.05x = -380 Divide each side by '-0.05'. x = 7600 Simplifying x = 7600
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