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Simplifying 2(x + -8) + 3(x + 6) = 17 Reorder the terms: 2(-8 + x) + 3(x + 6) = 17 (-8 * 2 + x * 2) + 3(x + 6) = 17 (-16 + 2x) + 3(x + 6) = 17 Reorder the terms: -16 + 2x + 3(6 + x) = 17 -16 + 2x + (6 * 3 + x * 3) = 17 -16 + 2x + (18 + 3x) = 17 Reorder the terms: -16 + 18 + 2x + 3x = 17 Combine like terms: -16 + 18 = 2 2 + 2x + 3x = 17 Combine like terms: 2x + 3x = 5x 2 + 5x = 17 Solving 2 + 5x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 17 + -2 5x = 17 + -2 Combine like terms: 17 + -2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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