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Simplifying -11 + -2(x + 10) = 3(3x + 8) Reorder the terms: -11 + -2(10 + x) = 3(3x + 8) -11 + (10 * -2 + x * -2) = 3(3x + 8) -11 + (-20 + -2x) = 3(3x + 8) Combine like terms: -11 + -20 = -31 -31 + -2x = 3(3x + 8) Reorder the terms: -31 + -2x = 3(8 + 3x) -31 + -2x = (8 * 3 + 3x * 3) -31 + -2x = (24 + 9x) Solving -31 + -2x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -31 + -2x + -9x = 24 + 9x + -9x Combine like terms: -2x + -9x = -11x -31 + -11x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + -11x = 24 + 0 -31 + -11x = 24 Add '31' to each side of the equation. -31 + 31 + -11x = 24 + 31 Combine like terms: -31 + 31 = 0 0 + -11x = 24 + 31 -11x = 24 + 31 Combine like terms: 24 + 31 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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