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Simplifying 0.2x + 0.0175(16500 + -1x) = 278.7 0.2x + (16500 * 0.0175 + -1x * 0.0175) = 278.7 0.2x + (288.75 + -0.0175x) = 278.7 Reorder the terms: 288.75 + 0.2x + -0.0175x = 278.7 Combine like terms: 0.2x + -0.0175x = 0.1825x 288.75 + 0.1825x = 278.7 Solving 288.75 + 0.1825x = 278.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-288.75' to each side of the equation. 288.75 + -288.75 + 0.1825x = 278.7 + -288.75 Combine like terms: 288.75 + -288.75 = 0.00 0.00 + 0.1825x = 278.7 + -288.75 0.1825x = 278.7 + -288.75 Combine like terms: 278.7 + -288.75 = -10.05 0.1825x = -10.05 Divide each side by '0.1825'. x = -55.06849315 Simplifying x = -55.06849315
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