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Simplifying 11x + -17 = 5(2x + 5) + -8 Reorder the terms: -17 + 11x = 5(2x + 5) + -8 Reorder the terms: -17 + 11x = 5(5 + 2x) + -8 -17 + 11x = (5 * 5 + 2x * 5) + -8 -17 + 11x = (25 + 10x) + -8 Reorder the terms: -17 + 11x = 25 + -8 + 10x Combine like terms: 25 + -8 = 17 -17 + 11x = 17 + 10x Solving -17 + 11x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + 11x + -10x = 17 + 10x + -10x Combine like terms: 11x + -10x = 1x -17 + 1x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + 1x = 17 + 0 -17 + 1x = 17 Add '17' to each side of the equation. -17 + 17 + 1x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 17 + 17 1x = 17 + 17 Combine like terms: 17 + 17 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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