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Simplifying 0.8(x + 100) = 0.88x + -512 Reorder the terms: 0.8(100 + x) = 0.88x + -512 (100 * 0.8 + x * 0.8) = 0.88x + -512 (80 + 0.8x) = 0.88x + -512 Reorder the terms: 80 + 0.8x = -512 + 0.88x Solving 80 + 0.8x = -512 + 0.88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.88x' to each side of the equation. 80 + 0.8x + -0.88x = -512 + 0.88x + -0.88x Combine like terms: 0.8x + -0.88x = -0.08x 80 + -0.08x = -512 + 0.88x + -0.88x Combine like terms: 0.88x + -0.88x = 0.00 80 + -0.08x = -512 + 0.00 80 + -0.08x = -512 Add '-80' to each side of the equation. 80 + -80 + -0.08x = -512 + -80 Combine like terms: 80 + -80 = 0 0 + -0.08x = -512 + -80 -0.08x = -512 + -80 Combine like terms: -512 + -80 = -592 -0.08x = -592 Divide each side by '-0.08'. x = 7400 Simplifying x = 7400
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