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Simplifying 2(x + 2) + 3(x + -5) = 3x + -17 Reorder the terms: 2(2 + x) + 3(x + -5) = 3x + -17 (2 * 2 + x * 2) + 3(x + -5) = 3x + -17 (4 + 2x) + 3(x + -5) = 3x + -17 Reorder the terms: 4 + 2x + 3(-5 + x) = 3x + -17 4 + 2x + (-5 * 3 + x * 3) = 3x + -17 4 + 2x + (-15 + 3x) = 3x + -17 Reorder the terms: 4 + -15 + 2x + 3x = 3x + -17 Combine like terms: 4 + -15 = -11 -11 + 2x + 3x = 3x + -17 Combine like terms: 2x + 3x = 5x -11 + 5x = 3x + -17 Reorder the terms: -11 + 5x = -17 + 3x Solving -11 + 5x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 5x + -3x = -17 + 3x + -3x Combine like terms: 5x + -3x = 2x -11 + 2x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 2x = -17 + 0 -11 + 2x = -17 Add '11' to each side of the equation. -11 + 11 + 2x = -17 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -17 + 11 2x = -17 + 11 Combine like terms: -17 + 11 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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