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Simplifying 2(5 + -1x) + -11x = -4(5x + 3) + -24 (5 * 2 + -1x * 2) + -11x = -4(5x + 3) + -24 (10 + -2x) + -11x = -4(5x + 3) + -24 Combine like terms: -2x + -11x = -13x 10 + -13x = -4(5x + 3) + -24 Reorder the terms: 10 + -13x = -4(3 + 5x) + -24 10 + -13x = (3 * -4 + 5x * -4) + -24 10 + -13x = (-12 + -20x) + -24 Reorder the terms: 10 + -13x = -12 + -24 + -20x Combine like terms: -12 + -24 = -36 10 + -13x = -36 + -20x Solving 10 + -13x = -36 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 10 + -13x + 20x = -36 + -20x + 20x Combine like terms: -13x + 20x = 7x 10 + 7x = -36 + -20x + 20x Combine like terms: -20x + 20x = 0 10 + 7x = -36 + 0 10 + 7x = -36 Add '-10' to each side of the equation. 10 + -10 + 7x = -36 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -36 + -10 7x = -36 + -10 Combine like terms: -36 + -10 = -46 7x = -46 Divide each side by '7'. x = -6.571428571 Simplifying x = -6.571428571
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