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Simplifying 5(x + -1) + 2(1 + -2y) = 14 Reorder the terms: 5(-1 + x) + 2(1 + -2y) = 14 (-1 * 5 + x * 5) + 2(1 + -2y) = 14 (-5 + 5x) + 2(1 + -2y) = 14 -5 + 5x + (1 * 2 + -2y * 2) = 14 -5 + 5x + (2 + -4y) = 14 Reorder the terms: -5 + 2 + 5x + -4y = 14 Combine like terms: -5 + 2 = -3 -3 + 5x + -4y = 14 Solving -3 + 5x + -4y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5x + 3 + -4y = 14 + 3 Reorder the terms: -3 + 3 + 5x + -4y = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + -4y = 14 + 3 5x + -4y = 14 + 3 Combine like terms: 14 + 3 = 17 5x + -4y = 17 Add '4y' to each side of the equation. 5x + -4y + 4y = 17 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 17 + 4y 5x = 17 + 4y Divide each side by '5'. x = 3.4 + 0.8y Simplifying x = 3.4 + 0.8y
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