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Simplifying 17x + -8 + -11x + 12 = 20 + -6x + -8 + 10 Reorder the terms: -8 + 12 + 17x + -11x = 20 + -6x + -8 + 10 Combine like terms: -8 + 12 = 4 4 + 17x + -11x = 20 + -6x + -8 + 10 Combine like terms: 17x + -11x = 6x 4 + 6x = 20 + -6x + -8 + 10 Reorder the terms: 4 + 6x = 20 + -8 + 10 + -6x Combine like terms: 20 + -8 = 12 4 + 6x = 12 + 10 + -6x Combine like terms: 12 + 10 = 22 4 + 6x = 22 + -6x Solving 4 + 6x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 6x + 6x = 22 + -6x + 6x Combine like terms: 6x + 6x = 12x 4 + 12x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 12x = 22 + 0 4 + 12x = 22 Add '-4' to each side of the equation. 4 + -4 + 12x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 22 + -4 12x = 22 + -4 Combine like terms: 22 + -4 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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