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Simplifying 8 + 4(6 + -5x) = 14 + -11x 8 + (6 * 4 + -5x * 4) = 14 + -11x 8 + (24 + -20x) = 14 + -11x Combine like terms: 8 + 24 = 32 32 + -20x = 14 + -11x Solving 32 + -20x = 14 + -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. 32 + -20x + 11x = 14 + -11x + 11x Combine like terms: -20x + 11x = -9x 32 + -9x = 14 + -11x + 11x Combine like terms: -11x + 11x = 0 32 + -9x = 14 + 0 32 + -9x = 14 Add '-32' to each side of the equation. 32 + -32 + -9x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -9x = 14 + -32 -9x = 14 + -32 Combine like terms: 14 + -32 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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