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Simplifying 11(x + -5) + -11 = 21x + -106 Reorder the terms: 11(-5 + x) + -11 = 21x + -106 (-5 * 11 + x * 11) + -11 = 21x + -106 (-55 + 11x) + -11 = 21x + -106 Reorder the terms: -55 + -11 + 11x = 21x + -106 Combine like terms: -55 + -11 = -66 -66 + 11x = 21x + -106 Reorder the terms: -66 + 11x = -106 + 21x Solving -66 + 11x = -106 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -66 + 11x + -21x = -106 + 21x + -21x Combine like terms: 11x + -21x = -10x -66 + -10x = -106 + 21x + -21x Combine like terms: 21x + -21x = 0 -66 + -10x = -106 + 0 -66 + -10x = -106 Add '66' to each side of the equation. -66 + 66 + -10x = -106 + 66 Combine like terms: -66 + 66 = 0 0 + -10x = -106 + 66 -10x = -106 + 66 Combine like terms: -106 + 66 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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