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Simplifying [15 + -14(x + -27)] + 5(4x + y) = 0 Reorder the terms: [15 + -14(-27 + x)] + 5(4x + y) = 0 [15 + (-27 * -14 + x * -14)] + 5(4x + y) = 0 [15 + (378 + -14x)] + 5(4x + y) = 0 Combine like terms: 15 + 378 = 393 [393 + -14x] + 5(4x + y) = 0 Remove brackets around [393 + -14x] 393 + -14x + 5(4x + y) = 0 393 + -14x + (4x * 5 + y * 5) = 0 393 + -14x + (20x + 5y) = 0 Combine like terms: -14x + 20x = 6x 393 + 6x + 5y = 0 Solving 393 + 6x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-393' to each side of the equation. 393 + 6x + -393 + 5y = 0 + -393 Reorder the terms: 393 + -393 + 6x + 5y = 0 + -393 Combine like terms: 393 + -393 = 0 0 + 6x + 5y = 0 + -393 6x + 5y = 0 + -393 Combine like terms: 0 + -393 = -393 6x + 5y = -393 Add '-5y' to each side of the equation. 6x + 5y + -5y = -393 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = -393 + -5y 6x = -393 + -5y Divide each side by '6'. x = -65.5 + -0.8333333333y Simplifying x = -65.5 + -0.8333333333y
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