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Simplifying 6y + 4(2x + 1) = 12 Reorder the terms: 6y + 4(1 + 2x) = 12 6y + (1 * 4 + 2x * 4) = 12 6y + (4 + 8x) = 12 Reorder the terms: 4 + 8x + 6y = 12 Solving 4 + 8x + 6y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8x + -4 + 6y = 12 + -4 Reorder the terms: 4 + -4 + 8x + 6y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x + 6y = 12 + -4 8x + 6y = 12 + -4 Combine like terms: 12 + -4 = 8 8x + 6y = 8 Add '-6y' to each side of the equation. 8x + 6y + -6y = 8 + -6y Combine like terms: 6y + -6y = 0 8x + 0 = 8 + -6y 8x = 8 + -6y Divide each side by '8'. x = 1 + -0.75y Simplifying x = 1 + -0.75y
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