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Simplifying 5(x + 2) + -3(y + 1) = 23 Reorder the terms: 5(2 + x) + -3(y + 1) = 23 (2 * 5 + x * 5) + -3(y + 1) = 23 (10 + 5x) + -3(y + 1) = 23 Reorder the terms: 10 + 5x + -3(1 + y) = 23 10 + 5x + (1 * -3 + y * -3) = 23 10 + 5x + (-3 + -3y) = 23 Reorder the terms: 10 + -3 + 5x + -3y = 23 Combine like terms: 10 + -3 = 7 7 + 5x + -3y = 23 Solving 7 + 5x + -3y = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5x + -7 + -3y = 23 + -7 Reorder the terms: 7 + -7 + 5x + -3y = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + -3y = 23 + -7 5x + -3y = 23 + -7 Combine like terms: 23 + -7 = 16 5x + -3y = 16 Add '3y' to each side of the equation. 5x + -3y + 3y = 16 + 3y Combine like terms: -3y + 3y = 0 5x + 0 = 16 + 3y 5x = 16 + 3y Divide each side by '5'. x = 3.2 + 0.6y Simplifying x = 3.2 + 0.6y
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