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Simplifying -11(1 + 2x) = 11(11x + 12) (1 * -11 + 2x * -11) = 11(11x + 12) (-11 + -22x) = 11(11x + 12) Reorder the terms: -11 + -22x = 11(12 + 11x) -11 + -22x = (12 * 11 + 11x * 11) -11 + -22x = (132 + 121x) Solving -11 + -22x = 132 + 121x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-121x' to each side of the equation. -11 + -22x + -121x = 132 + 121x + -121x Combine like terms: -22x + -121x = -143x -11 + -143x = 132 + 121x + -121x Combine like terms: 121x + -121x = 0 -11 + -143x = 132 + 0 -11 + -143x = 132 Add '11' to each side of the equation. -11 + 11 + -143x = 132 + 11 Combine like terms: -11 + 11 = 0 0 + -143x = 132 + 11 -143x = 132 + 11 Combine like terms: 132 + 11 = 143 -143x = 143 Divide each side by '-143'. x = -1 Simplifying x = -1
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