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Simplifying (0.02) * 35 + 0.09(x) = 0.04(35 + x) Multiply 0.02 * 35 0.7 + 0.09(x) = 0.04(35 + x) 0.7 + 0.09x = (35 * 0.04 + x * 0.04) 0.7 + 0.09x = (1.4 + 0.04x) Solving 0.7 + 0.09x = 1.4 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 0.7 + 0.09x + -0.04x = 1.4 + 0.04x + -0.04x Combine like terms: 0.09x + -0.04x = 0.05x 0.7 + 0.05x = 1.4 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.7 + 0.05x = 1.4 + 0.00 0.7 + 0.05x = 1.4 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.05x = 1.4 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.05x = 1.4 + -0.7 0.05x = 1.4 + -0.7 Combine like terms: 1.4 + -0.7 = 0.7 0.05x = 0.7 Divide each side by '0.05'. x = 14 Simplifying x = 14
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