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Simplifying 0.35(363.17 + x) = x (363.17 * 0.35 + x * 0.35) = x (127.1095 + 0.35x) = x Solving 127.1095 + 0.35x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 127.1095 + 0.35x + -1x = x + -1x Combine like terms: 0.35x + -1x = -0.65x 127.1095 + -0.65x = x + -1x Combine like terms: x + -1x = 0 127.1095 + -0.65x = 0 Add '-127.1095' to each side of the equation. 127.1095 + -127.1095 + -0.65x = 0 + -127.1095 Combine like terms: 127.1095 + -127.1095 = 0.0000 0.0000 + -0.65x = 0 + -127.1095 -0.65x = 0 + -127.1095 Combine like terms: 0 + -127.1095 = -127.1095 -0.65x = -127.1095 Divide each side by '-0.65'. x = 195.5530769 Simplifying x = 195.5530769
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