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Simplifying 2(x + 2) + 5(x + -3) = 17 Reorder the terms: 2(2 + x) + 5(x + -3) = 17 (2 * 2 + x * 2) + 5(x + -3) = 17 (4 + 2x) + 5(x + -3) = 17 Reorder the terms: 4 + 2x + 5(-3 + x) = 17 4 + 2x + (-3 * 5 + x * 5) = 17 4 + 2x + (-15 + 5x) = 17 Reorder the terms: 4 + -15 + 2x + 5x = 17 Combine like terms: 4 + -15 = -11 -11 + 2x + 5x = 17 Combine like terms: 2x + 5x = 7x -11 + 7x = 17 Solving -11 + 7x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 17 + 11 7x = 17 + 11 Combine like terms: 17 + 11 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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