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Simplifying 70(0.01) + 0.07x = 0.05(x + 70) Multiply 70 * 0.01 0.7 + 0.07x = 0.05(x + 70) Reorder the terms: 0.7 + 0.07x = 0.05(70 + x) 0.7 + 0.07x = (70 * 0.05 + x * 0.05) 0.7 + 0.07x = (3.5 + 0.05x) Solving 0.7 + 0.07x = 3.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0.7 + 0.07x + -0.05x = 3.5 + 0.05x + -0.05x Combine like terms: 0.07x + -0.05x = 0.02x 0.7 + 0.02x = 3.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.7 + 0.02x = 3.5 + 0.00 0.7 + 0.02x = 3.5 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.02x = 3.5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.02x = 3.5 + -0.7 0.02x = 3.5 + -0.7 Combine like terms: 3.5 + -0.7 = 2.8 0.02x = 2.8 Divide each side by '0.02'. x = 140 Simplifying x = 140
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