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Simplifying 55 + 0.25x * 100 = 45 + 0.35x * 100 Reorder the terms for easier multiplication: 55 + 0.25 * 100x = 45 + 0.35x * 100 Multiply 0.25 * 100 55 + 25x = 45 + 0.35x * 100 Reorder the terms for easier multiplication: 55 + 25x = 45 + 0.35 * 100x Multiply 0.35 * 100 55 + 25x = 45 + 35x Solving 55 + 25x = 45 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 55 + 25x + -35x = 45 + 35x + -35x Combine like terms: 25x + -35x = -10x 55 + -10x = 45 + 35x + -35x Combine like terms: 35x + -35x = 0 55 + -10x = 45 + 0 55 + -10x = 45 Add '-55' to each side of the equation. 55 + -55 + -10x = 45 + -55 Combine like terms: 55 + -55 = 0 0 + -10x = 45 + -55 -10x = 45 + -55 Combine like terms: 45 + -55 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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