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Simplifying 0.02(14000) + 0.14x = 0.18(14000 + x) Multiply 0.02 * 14000 280 + 0.14x = 0.18(14000 + x) 280 + 0.14x = (14000 * 0.18 + x * 0.18) 280 + 0.14x = (2520 + 0.18x) Solving 280 + 0.14x = 2520 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 280 + 0.14x + -0.18x = 2520 + 0.18x + -0.18x Combine like terms: 0.14x + -0.18x = -0.04x 280 + -0.04x = 2520 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 280 + -0.04x = 2520 + 0.00 280 + -0.04x = 2520 Add '-280' to each side of the equation. 280 + -280 + -0.04x = 2520 + -280 Combine like terms: 280 + -280 = 0 0 + -0.04x = 2520 + -280 -0.04x = 2520 + -280 Combine like terms: 2520 + -280 = 2240 -0.04x = 2240 Divide each side by '-0.04'. x = -56000 Simplifying x = -56000
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