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Simplifying 0.08(x + -100) = 47.5 + -0.07x Reorder the terms: 0.08(-100 + x) = 47.5 + -0.07x (-100 * 0.08 + x * 0.08) = 47.5 + -0.07x (-8 + 0.08x) = 47.5 + -0.07x Solving -8 + 0.08x = 47.5 + -0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07x' to each side of the equation. -8 + 0.08x + 0.07x = 47.5 + -0.07x + 0.07x Combine like terms: 0.08x + 0.07x = 0.15x -8 + 0.15x = 47.5 + -0.07x + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 -8 + 0.15x = 47.5 + 0.00 -8 + 0.15x = 47.5 Add '8' to each side of the equation. -8 + 8 + 0.15x = 47.5 + 8 Combine like terms: -8 + 8 = 0 0 + 0.15x = 47.5 + 8 0.15x = 47.5 + 8 Combine like terms: 47.5 + 8 = 55.5 0.15x = 55.5 Divide each side by '0.15'. x = 370 Simplifying x = 370
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