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Simplifying (7 * 35) + (x * 0.14) = (7 * 70) + (x * 0.07) Multiply 7 * 35 (245) + (x * 0.14) = (7 * 70) + (x * 0.07) 245 + (x * 0.14) = (7 * 70) + (x * 0.07) Reorder the terms for easier multiplication: 245 + (0.14x) = (7 * 70) + (x * 0.07) Multiply 7 * 70 245 + (0.14x) = (490) + (x * 0.07) 245 + (0.14x) = 490 + (x * 0.07) Reorder the terms for easier multiplication: 245 + (0.14x) = 490 + (0.07x) Solving 245 + (0.14x) = 490 + (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. 245 + (0.14x) + (-0.07x) = 490 + (0.07x) + (-0.07x) Combine like terms: (0.14x) + (-0.07x) = 0.07x 245 + 0.07x = 490 + (0.07x) + (-0.07x) Combine like terms: (0.07x) + (-0.07x) = 0.00 245 + 0.07x = 490 + 0.00 245 + 0.07x = 490 Add '-245' to each side of the equation. 245 + -245 + 0.07x = 490 + -245 Combine like terms: 245 + -245 = 0 0 + 0.07x = 490 + -245 0.07x = 490 + -245 Combine like terms: 490 + -245 = 245 0.07x = 245 Divide each side by '0.07'. x = 3500 Simplifying x = 3500
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