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Simplifying 35(5) + 0.10x = 25(5) + 0.25x Multiply 35 * 5 175 + 0.10x = 25(5) + 0.25x Multiply 25 * 5 175 + 0.10x = 125 + 0.25x Solving 175 + 0.10x = 125 + 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. 175 + 0.10x + -0.25x = 125 + 0.25x + -0.25x Combine like terms: 0.10x + -0.25x = -0.15x 175 + -0.15x = 125 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 175 + -0.15x = 125 + 0.00 175 + -0.15x = 125 Add '-175' to each side of the equation. 175 + -175 + -0.15x = 125 + -175 Combine like terms: 175 + -175 = 0 0 + -0.15x = 125 + -175 -0.15x = 125 + -175 Combine like terms: 125 + -175 = -50 -0.15x = -50 Divide each side by '-0.15'. x = 333.3333333 Simplifying x = 333.3333333
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