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Simplifying 11 + 3(8 + -6x) = 17 + -12x 11 + (8 * 3 + -6x * 3) = 17 + -12x 11 + (24 + -18x) = 17 + -12x Combine like terms: 11 + 24 = 35 35 + -18x = 17 + -12x Solving 35 + -18x = 17 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 35 + -18x + 12x = 17 + -12x + 12x Combine like terms: -18x + 12x = -6x 35 + -6x = 17 + -12x + 12x Combine like terms: -12x + 12x = 0 35 + -6x = 17 + 0 35 + -6x = 17 Add '-35' to each side of the equation. 35 + -35 + -6x = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = 17 + -35 -6x = 17 + -35 Combine like terms: 17 + -35 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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