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