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Simplifying 0.5(x + 300) = 0.58x + -434 Reorder the terms: 0.5(300 + x) = 0.58x + -434 (300 * 0.5 + x * 0.5) = 0.58x + -434 (150 + 0.5x) = 0.58x + -434 Reorder the terms: 150 + 0.5x = -434 + 0.58x Solving 150 + 0.5x = -434 + 0.58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.58x' to each side of the equation. 150 + 0.5x + -0.58x = -434 + 0.58x + -0.58x Combine like terms: 0.5x + -0.58x = -0.08x 150 + -0.08x = -434 + 0.58x + -0.58x Combine like terms: 0.58x + -0.58x = 0.00 150 + -0.08x = -434 + 0.00 150 + -0.08x = -434 Add '-150' to each side of the equation. 150 + -150 + -0.08x = -434 + -150 Combine like terms: 150 + -150 = 0 0 + -0.08x = -434 + -150 -0.08x = -434 + -150 Combine like terms: -434 + -150 = -584 -0.08x = -584 Divide each side by '-0.08'. x = 7300 Simplifying x = 7300
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