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Simplifying 3x + 12y + -6y + 45 = 100 Reorder the terms: 45 + 3x + 12y + -6y = 100 Combine like terms: 12y + -6y = 6y 45 + 3x + 6y = 100 Solving 45 + 3x + 6y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 3x + -45 + 6y = 100 + -45 Reorder the terms: 45 + -45 + 3x + 6y = 100 + -45 Combine like terms: 45 + -45 = 0 0 + 3x + 6y = 100 + -45 3x + 6y = 100 + -45 Combine like terms: 100 + -45 = 55 3x + 6y = 55 Add '-6y' to each side of the equation. 3x + 6y + -6y = 55 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 55 + -6y 3x = 55 + -6y Divide each side by '3'. x = 18.33333333 + -2y Simplifying x = 18.33333333 + -2y
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