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Simplifying 5(8 + -1x) = 3(6 + 2x) (8 * 5 + -1x * 5) = 3(6 + 2x) (40 + -5x) = 3(6 + 2x) 40 + -5x = (6 * 3 + 2x * 3) 40 + -5x = (18 + 6x) Solving 40 + -5x = 18 + 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. 40 + -5x + -6x = 18 + 6x + -6x Combine like terms: -5x + -6x = -11x 40 + -11x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -11x = 18 + 0 40 + -11x = 18 Add '-40' to each side of the equation. 40 + -40 + -11x = 18 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = 18 + -40 -11x = 18 + -40 Combine like terms: 18 + -40 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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