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Simplifying -11x + -100 = 10x + 152 Reorder the terms: -100 + -11x = 10x + 152 Reorder the terms: -100 + -11x = 152 + 10x Solving -100 + -11x = 152 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -100 + -11x + -10x = 152 + 10x + -10x Combine like terms: -11x + -10x = -21x -100 + -21x = 152 + 10x + -10x Combine like terms: 10x + -10x = 0 -100 + -21x = 152 + 0 -100 + -21x = 152 Add '100' to each side of the equation. -100 + 100 + -21x = 152 + 100 Combine like terms: -100 + 100 = 0 0 + -21x = 152 + 100 -21x = 152 + 100 Combine like terms: 152 + 100 = 252 -21x = 252 Divide each side by '-21'. x = -12 Simplifying x = -12
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