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Simplifying -5 + 11(1 + 3x) = -4(-3 + -9x) -5 + (1 * 11 + 3x * 11) = -4(-3 + -9x) -5 + (11 + 33x) = -4(-3 + -9x) Combine like terms: -5 + 11 = 6 6 + 33x = -4(-3 + -9x) 6 + 33x = (-3 * -4 + -9x * -4) 6 + 33x = (12 + 36x) Solving 6 + 33x = 12 + 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. 6 + 33x + -36x = 12 + 36x + -36x Combine like terms: 33x + -36x = -3x 6 + -3x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 6 + -3x = 12 + 0 6 + -3x = 12 Add '-6' to each side of the equation. 6 + -6 + -3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 12 + -6 -3x = 12 + -6 Combine like terms: 12 + -6 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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