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Simplifying 0.5(x + 100) = 0.56x + -418 Reorder the terms: 0.5(100 + x) = 0.56x + -418 (100 * 0.5 + x * 0.5) = 0.56x + -418 (50 + 0.5x) = 0.56x + -418 Reorder the terms: 50 + 0.5x = -418 + 0.56x Solving 50 + 0.5x = -418 + 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. 50 + 0.5x + -0.56x = -418 + 0.56x + -0.56x Combine like terms: 0.5x + -0.56x = -0.06x 50 + -0.06x = -418 + 0.56x + -0.56x Combine like terms: 0.56x + -0.56x = 0.00 50 + -0.06x = -418 + 0.00 50 + -0.06x = -418 Add '-50' to each side of the equation. 50 + -50 + -0.06x = -418 + -50 Combine like terms: 50 + -50 = 0 0 + -0.06x = -418 + -50 -0.06x = -418 + -50 Combine like terms: -418 + -50 = -468 -0.06x = -468 Divide each side by '-0.06'. x = 7800 Simplifying x = 7800
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