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Simplifying (x * 21) + ((x + 44) * 6) + (y * 14) = 9486 Reorder the terms for easier multiplication: (21x) + ((x + 44) * 6) + (y * 14) = 9486 Reorder the terms: (21x) + ((44 + x) * 6) + (y * 14) = 9486 Reorder the terms for easier multiplication: (21x) + (6(44 + x)) + (y * 14) = 9486 (21x) + ((44 * 6 + x * 6)) + (y * 14) = 9486 (21x) + ((264 + 6x)) + (y * 14) = 9486 (21x) + (264 + 6x) + (y * 14) = 9486 Remove parenthesis around (264 + 6x) (21x) + 264 + 6x + (y * 14) = 9486 Reorder the terms for easier multiplication: (21x) + 264 + 6x + (14y) = 9486 Reorder the terms: 264 + (21x) + 6x + (14y) = 9486 Combine like terms: (21x) + 6x = 27x 264 + 27x + (14y) = 9486 Solving 264 + 27x + (14y) = 9486 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-264' to each side of the equation. 264 + 27x + -264 + (14y) = 9486 + -264 Reorder the terms: 264 + -264 + 27x + (14y) = 9486 + -264 Combine like terms: 264 + -264 = 0 0 + 27x + (14y) = 9486 + -264 27x + (14y) = 9486 + -264 Combine like terms: 9486 + -264 = 9222 27x + (14y) = 9222 Add '(-14y)' to each side of the equation. 27x + (14y) + (-14y) = 9222 + (-14y) Combine like terms: (14y) + (-14y) = 0 27x + 0 = 9222 + (-14y) 27x = 9222 + (-14y) Divide each side by '27'. x = 341.5555556 + (-0.5185185185y) Simplifying x = 341.5555556 + (-0.5185185185y)
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