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Simplifying 70(0.06) + x(0.09) = (70 + x) * 0.07 Multiply 70 * 0.06 4.2 + x(0.09) = (70 + x) * 0.07 Reorder the terms for easier multiplication: 4.2 + 0.09x = (70 + x) * 0.07 Reorder the terms for easier multiplication: 4.2 + 0.09x = 0.07(70 + x) 4.2 + 0.09x = (70 * 0.07 + x * 0.07) 4.2 + 0.09x = (4.9 + 0.07x) Solving 4.2 + 0.09x = 4.9 + 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. 4.2 + 0.09x + -0.07x = 4.9 + 0.07x + -0.07x Combine like terms: 0.09x + -0.07x = 0.02x 4.2 + 0.02x = 4.9 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 4.2 + 0.02x = 4.9 + 0.00 4.2 + 0.02x = 4.9 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.02x = 4.9 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.02x = 4.9 + -4.2 0.02x = 4.9 + -4.2 Combine like terms: 4.9 + -4.2 = 0.7 0.02x = 0.7 Divide each side by '0.02'. x = 35 Simplifying x = 35
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