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Simplifying 10(1 + -2x) = 5(2x + -3) + -3(11x + -5) (1 * 10 + -2x * 10) = 5(2x + -3) + -3(11x + -5) (10 + -20x) = 5(2x + -3) + -3(11x + -5) Reorder the terms: 10 + -20x = 5(-3 + 2x) + -3(11x + -5) 10 + -20x = (-3 * 5 + 2x * 5) + -3(11x + -5) 10 + -20x = (-15 + 10x) + -3(11x + -5) Reorder the terms: 10 + -20x = -15 + 10x + -3(-5 + 11x) 10 + -20x = -15 + 10x + (-5 * -3 + 11x * -3) 10 + -20x = -15 + 10x + (15 + -33x) Reorder the terms: 10 + -20x = -15 + 15 + 10x + -33x Combine like terms: -15 + 15 = 0 10 + -20x = 0 + 10x + -33x 10 + -20x = 10x + -33x Combine like terms: 10x + -33x = -23x 10 + -20x = -23x Solving 10 + -20x = -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 10 + -20x + 23x = -23x + 23x Combine like terms: -20x + 23x = 3x 10 + 3x = -23x + 23x Combine like terms: -23x + 23x = 0 10 + 3x = 0 Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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