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Simplifying 35 + (x * 0.14) = 70 + (x * 0.07) Reorder the terms for easier multiplication: 35 + (0.14x) = 70 + (x * 0.07) Reorder the terms for easier multiplication: 35 + (0.14x) = 70 + (0.07x) Solving 35 + (0.14x) = 70 + (0.07x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-0.07x)' to each side of the equation. 35 + (0.14x) + (-0.07x) = 70 + (0.07x) + (-0.07x) Combine like terms: (0.14x) + (-0.07x) = 0.07x 35 + 0.07x = 70 + (0.07x) + (-0.07x) Combine like terms: (0.07x) + (-0.07x) = 0.00 35 + 0.07x = 70 + 0.00 35 + 0.07x = 70 Add '-35' to each side of the equation. 35 + -35 + 0.07x = 70 + -35 Combine like terms: 35 + -35 = 0 0 + 0.07x = 70 + -35 0.07x = 70 + -35 Combine like terms: 70 + -35 = 35 0.07x = 35 Divide each side by '0.07'. x = 500 Simplifying x = 500
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