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Simplifying 5(2x + -1) + 17 = 5x + 6(x + 2) Reorder the terms: 5(-1 + 2x) + 17 = 5x + 6(x + 2) (-1 * 5 + 2x * 5) + 17 = 5x + 6(x + 2) (-5 + 10x) + 17 = 5x + 6(x + 2) Reorder the terms: -5 + 17 + 10x = 5x + 6(x + 2) Combine like terms: -5 + 17 = 12 12 + 10x = 5x + 6(x + 2) Reorder the terms: 12 + 10x = 5x + 6(2 + x) 12 + 10x = 5x + (2 * 6 + x * 6) 12 + 10x = 5x + (12 + 6x) Reorder the terms: 12 + 10x = 12 + 5x + 6x Combine like terms: 5x + 6x = 11x 12 + 10x = 12 + 11x Add '-12' to each side of the equation. 12 + -12 + 10x = 12 + -12 + 11x Combine like terms: 12 + -12 = 0 0 + 10x = 12 + -12 + 11x 10x = 12 + -12 + 11x Combine like terms: 12 + -12 = 0 10x = 0 + 11x 10x = 11x Solving 10x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 10x + -11x = 11x + -11x Combine like terms: 10x + -11x = -1x -1x = 11x + -11x Combine like terms: 11x + -11x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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