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Simplifying 2(3x + 6) + 4x + -5y = 32 Reorder the terms: 2(6 + 3x) + 4x + -5y = 32 (6 * 2 + 3x * 2) + 4x + -5y = 32 (12 + 6x) + 4x + -5y = 32 Combine like terms: 6x + 4x = 10x 12 + 10x + -5y = 32 Solving 12 + 10x + -5y = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 10x + -12 + -5y = 32 + -12 Reorder the terms: 12 + -12 + 10x + -5y = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 10x + -5y = 32 + -12 10x + -5y = 32 + -12 Combine like terms: 32 + -12 = 20 10x + -5y = 20 Add '5y' to each side of the equation. 10x + -5y + 5y = 20 + 5y Combine like terms: -5y + 5y = 0 10x + 0 = 20 + 5y 10x = 20 + 5y Divide each side by '10'. x = 2 + 0.5y Simplifying x = 2 + 0.5y
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