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Simplifying 11(-3x + 2) + -2(1 + -5x) = -7x + -6x Reorder the terms: 11(2 + -3x) + -2(1 + -5x) = -7x + -6x (2 * 11 + -3x * 11) + -2(1 + -5x) = -7x + -6x (22 + -33x) + -2(1 + -5x) = -7x + -6x 22 + -33x + (1 * -2 + -5x * -2) = -7x + -6x 22 + -33x + (-2 + 10x) = -7x + -6x Reorder the terms: 22 + -2 + -33x + 10x = -7x + -6x Combine like terms: 22 + -2 = 20 20 + -33x + 10x = -7x + -6x Combine like terms: -33x + 10x = -23x 20 + -23x = -7x + -6x Combine like terms: -7x + -6x = -13x 20 + -23x = -13x Solving 20 + -23x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 20 + -23x + 13x = -13x + 13x Combine like terms: -23x + 13x = -10x 20 + -10x = -13x + 13x Combine like terms: -13x + 13x = 0 20 + -10x = 0 Add '-20' to each side of the equation. 20 + -20 + -10x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = 0 + -20 -10x = 0 + -20 Combine like terms: 0 + -20 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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