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Simplifying 11 + 5(8 + -6x) = 12 + -17x 11 + (8 * 5 + -6x * 5) = 12 + -17x 11 + (40 + -30x) = 12 + -17x Combine like terms: 11 + 40 = 51 51 + -30x = 12 + -17x Solving 51 + -30x = 12 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 51 + -30x + 17x = 12 + -17x + 17x Combine like terms: -30x + 17x = -13x 51 + -13x = 12 + -17x + 17x Combine like terms: -17x + 17x = 0 51 + -13x = 12 + 0 51 + -13x = 12 Add '-51' to each side of the equation. 51 + -51 + -13x = 12 + -51 Combine like terms: 51 + -51 = 0 0 + -13x = 12 + -51 -13x = 12 + -51 Combine like terms: 12 + -51 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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