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Simplifying 5(4 + -1x) = 13 + -3(5 + -2x) (4 * 5 + -1x * 5) = 13 + -3(5 + -2x) (20 + -5x) = 13 + -3(5 + -2x) 20 + -5x = 13 + (5 * -3 + -2x * -3) 20 + -5x = 13 + (-15 + 6x) Combine like terms: 13 + -15 = -2 20 + -5x = -2 + 6x Solving 20 + -5x = -2 + 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. 20 + -5x + -6x = -2 + 6x + -6x Combine like terms: -5x + -6x = -11x 20 + -11x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -11x = -2 + 0 20 + -11x = -2 Add '-20' to each side of the equation. 20 + -20 + -11x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -2 + -20 -11x = -2 + -20 Combine like terms: -2 + -20 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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