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Simplifying 0.5(x + 300) = 0.56x + -300 Reorder the terms: 0.5(300 + x) = 0.56x + -300 (300 * 0.5 + x * 0.5) = 0.56x + -300 (150 + 0.5x) = 0.56x + -300 Reorder the terms: 150 + 0.5x = -300 + 0.56x Solving 150 + 0.5x = -300 + 0.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.56x' to each side of the equation. 150 + 0.5x + -0.56x = -300 + 0.56x + -0.56x Combine like terms: 0.5x + -0.56x = -0.06x 150 + -0.06x = -300 + 0.56x + -0.56x Combine like terms: 0.56x + -0.56x = 0.00 150 + -0.06x = -300 + 0.00 150 + -0.06x = -300 Add '-150' to each side of the equation. 150 + -150 + -0.06x = -300 + -150 Combine like terms: 150 + -150 = 0 0 + -0.06x = -300 + -150 -0.06x = -300 + -150 Combine like terms: -300 + -150 = -450 -0.06x = -450 Divide each side by '-0.06'. x = 7500 Simplifying x = 7500
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