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Simplifying 100 = x + x + 0.5x + 0.25x + 1 Reorder the terms: 100 = 1 + x + x + 0.5x + 0.25x Combine like terms: x + x = 2x 100 = 1 + 2x + 0.5x + 0.25x Combine like terms: 2x + 0.5x = 2.5x 100 = 1 + 2.5x + 0.25x Combine like terms: 2.5x + 0.25x = 2.75x 100 = 1 + 2.75x Solving 100 = 1 + 2.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75x' to each side of the equation. 100 + -2.75x = 1 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 100 + -2.75x = 1 + 0.00 100 + -2.75x = 1 Add '-100' to each side of the equation. 100 + -100 + -2.75x = 1 + -100 Combine like terms: 100 + -100 = 0 0 + -2.75x = 1 + -100 -2.75x = 1 + -100 Combine like terms: 1 + -100 = -99 -2.75x = -99 Divide each side by '-2.75'. x = 36 Simplifying x = 36
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