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Simplifying 5x + -8(4y + 7) = 14 Reorder the terms: 5x + -8(7 + 4y) = 14 5x + (7 * -8 + 4y * -8) = 14 5x + (-56 + -32y) = 14 Reorder the terms: -56 + 5x + -32y = 14 Solving -56 + 5x + -32y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 5x + 56 + -32y = 14 + 56 Reorder the terms: -56 + 56 + 5x + -32y = 14 + 56 Combine like terms: -56 + 56 = 0 0 + 5x + -32y = 14 + 56 5x + -32y = 14 + 56 Combine like terms: 14 + 56 = 70 5x + -32y = 70 Add '32y' to each side of the equation. 5x + -32y + 32y = 70 + 32y Combine like terms: -32y + 32y = 0 5x + 0 = 70 + 32y 5x = 70 + 32y Divide each side by '5'. x = 14 + 6.4y Simplifying x = 14 + 6.4y
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