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Simplifying 2(4 + -3x) = 5(x + 6) (4 * 2 + -3x * 2) = 5(x + 6) (8 + -6x) = 5(x + 6) Reorder the terms: 8 + -6x = 5(6 + x) 8 + -6x = (6 * 5 + x * 5) 8 + -6x = (30 + 5x) Solving 8 + -6x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -6x + -5x = 30 + 5x + -5x Combine like terms: -6x + -5x = -11x 8 + -11x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -11x = 30 + 0 8 + -11x = 30 Add '-8' to each side of the equation. 8 + -8 + -11x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 30 + -8 -11x = 30 + -8 Combine like terms: 30 + -8 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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