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Simplifying 0.5(6x + 17y) + 4(90 + 1) = 0 (6x * 0.5 + 17y * 0.5) + 4(90 + 1) = 0 (3x + 8.5y) + 4(90 + 1) = 0 Combine like terms: 90 + 1 = 91 3x + 8.5y + 4(91) = 0 Multiply 4 * 91 3x + 8.5y + 364 = 0 Reorder the terms: 364 + 3x + 8.5y = 0 Solving 364 + 3x + 8.5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-364' to each side of the equation. 364 + 3x + -364 + 8.5y = 0 + -364 Reorder the terms: 364 + -364 + 3x + 8.5y = 0 + -364 Combine like terms: 364 + -364 = 0 0 + 3x + 8.5y = 0 + -364 3x + 8.5y = 0 + -364 Combine like terms: 0 + -364 = -364 3x + 8.5y = -364 Add '-8.5y' to each side of the equation. 3x + 8.5y + -8.5y = -364 + -8.5y Combine like terms: 8.5y + -8.5y = 0.0 3x + 0.0 = -364 + -8.5y 3x = -364 + -8.5y Divide each side by '3'. x = -121.3333333 + -2.833333333y Simplifying x = -121.3333333 + -2.833333333y
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