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Simplifying 0.04(79000 + x) = 0.07(79000) + 0.03x (79000 * 0.04 + x * 0.04) = 0.07(79000) + 0.03x (3160 + 0.04x) = 0.07(79000) + 0.03x Multiply 0.07 * 79000 3160 + 0.04x = 5530 + 0.03x Solving 3160 + 0.04x = 5530 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 3160 + 0.04x + -0.03x = 5530 + 0.03x + -0.03x Combine like terms: 0.04x + -0.03x = 0.01x 3160 + 0.01x = 5530 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 3160 + 0.01x = 5530 + 0.00 3160 + 0.01x = 5530 Add '-3160' to each side of the equation. 3160 + -3160 + 0.01x = 5530 + -3160 Combine like terms: 3160 + -3160 = 0 0 + 0.01x = 5530 + -3160 0.01x = 5530 + -3160 Combine like terms: 5530 + -3160 = 2370 0.01x = 2370 Divide each side by '0.01'. x = 237000 Simplifying x = 237000
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