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Simplifying 0.10x + 30 = 0.25x + 15 Reorder the terms: 30 + 0.10x = 0.25x + 15 Reorder the terms: 30 + 0.10x = 15 + 0.25x Solving 30 + 0.10x = 15 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 30 + 0.10x + -0.25x = 15 + 0.25x + -0.25x Combine like terms: 0.10x + -0.25x = -0.15x 30 + -0.15x = 15 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 30 + -0.15x = 15 + 0.00 30 + -0.15x = 15 Add '-30' to each side of the equation. 30 + -30 + -0.15x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -0.15x = 15 + -30 -0.15x = 15 + -30 Combine like terms: 15 + -30 = -15 -0.15x = -15 Divide each side by '-0.15'. x = 100 Simplifying x = 100
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