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Simplifying 30 + 0.25x = 45 + 0.10x Solving 30 + 0.25x = 45 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 30 + 0.25x + -0.10x = 45 + 0.10x + -0.10x Combine like terms: 0.25x + -0.10x = 0.15x 30 + 0.15x = 45 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 30 + 0.15x = 45 + 0.00 30 + 0.15x = 45 Add '-30' to each side of the equation. 30 + -30 + 0.15x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 0.15x = 45 + -30 0.15x = 45 + -30 Combine like terms: 45 + -30 = 15 0.15x = 15 Divide each side by '0.15'. x = 100 Simplifying x = 100
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