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Simplifying 0.20(14000) + 0.14x = 0.18(14000 + x) Multiply 0.20 * 14000 2800 + 0.14x = 0.18(14000 + x) 2800 + 0.14x = (14000 * 0.18 + x * 0.18) 2800 + 0.14x = (2520 + 0.18x) Solving 2800 + 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. 2800 + 0.14x + -0.18x = 2520 + 0.18x + -0.18x Combine like terms: 0.14x + -0.18x = -0.04x 2800 + -0.04x = 2520 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 2800 + -0.04x = 2520 + 0.00 2800 + -0.04x = 2520 Add '-2800' to each side of the equation. 2800 + -2800 + -0.04x = 2520 + -2800 Combine like terms: 2800 + -2800 = 0 0 + -0.04x = 2520 + -2800 -0.04x = 2520 + -2800 Combine like terms: 2520 + -2800 = -280 -0.04x = -280 Divide each side by '-0.04'. x = 7000 Simplifying x = 7000
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