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Simplifying 5(2 + -1) + x + 17 = 5x + 6(x + 2) Combine like terms: 2 + -1 = 1 5(1) + x + 17 = 5x + 6(x + 2) Multiply 5 * 1 5 + x + 17 = 5x + 6(x + 2) Reorder the terms: 5 + 17 + x = 5x + 6(x + 2) Combine like terms: 5 + 17 = 22 22 + x = 5x + 6(x + 2) Reorder the terms: 22 + x = 5x + 6(2 + x) 22 + x = 5x + (2 * 6 + x * 6) 22 + x = 5x + (12 + 6x) Reorder the terms: 22 + x = 12 + 5x + 6x Combine like terms: 5x + 6x = 11x 22 + x = 12 + 11x Solving 22 + x = 12 + 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. 22 + x + -11x = 12 + 11x + -11x Combine like terms: x + -11x = -10x 22 + -10x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + -10x = 12 + 0 22 + -10x = 12 Add '-22' to each side of the equation. 22 + -22 + -10x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = 12 + -22 -10x = 12 + -22 Combine like terms: 12 + -22 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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