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Simplifying 218 = 4(x + 12) + 6y Reorder the terms: 218 = 4(12 + x) + 6y 218 = (12 * 4 + x * 4) + 6y 218 = (48 + 4x) + 6y Solving 218 = 48 + 4x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 218 + -4x = 48 + 4x + -4x + 6y Combine like terms: 4x + -4x = 0 218 + -4x = 48 + 0 + 6y 218 + -4x = 48 + 6y Add '-218' to each side of the equation. 218 + -218 + -4x = 48 + -218 + 6y Combine like terms: 218 + -218 = 0 0 + -4x = 48 + -218 + 6y -4x = 48 + -218 + 6y Combine like terms: 48 + -218 = -170 -4x = -170 + 6y Divide each side by '-4'. x = 42.5 + -1.5y Simplifying x = 42.5 + -1.5y
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