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Simplifying 8(2x + 3) + -4y = -12 Reorder the terms: 8(3 + 2x) + -4y = -12 (3 * 8 + 2x * 8) + -4y = -12 (24 + 16x) + -4y = -12 Solving 24 + 16x + -4y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 16x + -24 + -4y = -12 + -24 Reorder the terms: 24 + -24 + 16x + -4y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 16x + -4y = -12 + -24 16x + -4y = -12 + -24 Combine like terms: -12 + -24 = -36 16x + -4y = -36 Add '4y' to each side of the equation. 16x + -4y + 4y = -36 + 4y Combine like terms: -4y + 4y = 0 16x + 0 = -36 + 4y 16x = -36 + 4y Divide each side by '16'. x = -2.25 + 0.25y Simplifying x = -2.25 + 0.25y
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