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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 = -24 -24 + -33x + 10x = -7x + -6x Combine like terms: -33x + 10x = -23x -24 + -23x = -7x + -6x Combine like terms: -7x + -6x = -13x -24 + -23x = -13x Solving -24 + -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. -24 + -23x + 13x = -13x + 13x Combine like terms: -23x + 13x = -10x -24 + -10x = -13x + 13x Combine like terms: -13x + 13x = 0 -24 + -10x = 0 Add '24' to each side of the equation. -24 + 24 + -10x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -10x = 0 + 24 -10x = 0 + 24 Combine like terms: 0 + 24 = 24 -10x = 24 Divide each side by '-10'. x = -2.4 Simplifying x = -2.4
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