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Simplifying 5(x + -1) + 2(y + 1) = 42 Reorder the terms: 5(-1 + x) + 2(y + 1) = 42 (-1 * 5 + x * 5) + 2(y + 1) = 42 (-5 + 5x) + 2(y + 1) = 42 Reorder the terms: -5 + 5x + 2(1 + y) = 42 -5 + 5x + (1 * 2 + y * 2) = 42 -5 + 5x + (2 + 2y) = 42 Reorder the terms: -5 + 2 + 5x + 2y = 42 Combine like terms: -5 + 2 = -3 -3 + 5x + 2y = 42 Solving -3 + 5x + 2y = 42 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 + 2y = 42 + 3 Reorder the terms: -3 + 3 + 5x + 2y = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + 2y = 42 + 3 5x + 2y = 42 + 3 Combine like terms: 42 + 3 = 45 5x + 2y = 45 Add '-2y' to each side of the equation. 5x + 2y + -2y = 45 + -2y Combine like terms: 2y + -2y = 0 5x + 0 = 45 + -2y 5x = 45 + -2y Divide each side by '5'. x = 9 + -0.4y Simplifying x = 9 + -0.4y
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