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Simplifying 12(x + -11) + -9 = 22x + -171 Reorder the terms: 12(-11 + x) + -9 = 22x + -171 (-11 * 12 + x * 12) + -9 = 22x + -171 (-132 + 12x) + -9 = 22x + -171 Reorder the terms: -132 + -9 + 12x = 22x + -171 Combine like terms: -132 + -9 = -141 -141 + 12x = 22x + -171 Reorder the terms: -141 + 12x = -171 + 22x Solving -141 + 12x = -171 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -141 + 12x + -22x = -171 + 22x + -22x Combine like terms: 12x + -22x = -10x -141 + -10x = -171 + 22x + -22x Combine like terms: 22x + -22x = 0 -141 + -10x = -171 + 0 -141 + -10x = -171 Add '141' to each side of the equation. -141 + 141 + -10x = -171 + 141 Combine like terms: -141 + 141 = 0 0 + -10x = -171 + 141 -10x = -171 + 141 Combine like terms: -171 + 141 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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