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Simplifying -10(11 + -3x) = -10 + -4(-5 + -9x) (11 * -10 + -3x * -10) = -10 + -4(-5 + -9x) (-110 + 30x) = -10 + -4(-5 + -9x) -110 + 30x = -10 + (-5 * -4 + -9x * -4) -110 + 30x = -10 + (20 + 36x) Combine like terms: -10 + 20 = 10 -110 + 30x = 10 + 36x Solving -110 + 30x = 10 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -110 + 30x + -36x = 10 + 36x + -36x Combine like terms: 30x + -36x = -6x -110 + -6x = 10 + 36x + -36x Combine like terms: 36x + -36x = 0 -110 + -6x = 10 + 0 -110 + -6x = 10 Add '110' to each side of the equation. -110 + 110 + -6x = 10 + 110 Combine like terms: -110 + 110 = 0 0 + -6x = 10 + 110 -6x = 10 + 110 Combine like terms: 10 + 110 = 120 -6x = 120 Divide each side by '-6'. x = -20 Simplifying x = -20
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