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Simplifying -50 + x = 0.8(x + 100) Reorder the terms: -50 + x = 0.8(100 + x) -50 + x = (100 * 0.8 + x * 0.8) -50 + x = (80 + 0.8x) Solving -50 + x = 80 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -50 + x + -0.8x = 80 + 0.8x + -0.8x Combine like terms: x + -0.8x = 0.2x -50 + 0.2x = 80 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -50 + 0.2x = 80 + 0.0 -50 + 0.2x = 80 Add '50' to each side of the equation. -50 + 50 + 0.2x = 80 + 50 Combine like terms: -50 + 50 = 0 0 + 0.2x = 80 + 50 0.2x = 80 + 50 Combine like terms: 80 + 50 = 130 0.2x = 130 Divide each side by '0.2'. x = 650 Simplifying x = 650
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