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Simplifying -152 + 11x = 100 + -3x Solving -152 + 11x = 100 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -152 + 11x + 3x = 100 + -3x + 3x Combine like terms: 11x + 3x = 14x -152 + 14x = 100 + -3x + 3x Combine like terms: -3x + 3x = 0 -152 + 14x = 100 + 0 -152 + 14x = 100 Add '152' to each side of the equation. -152 + 152 + 14x = 100 + 152 Combine like terms: -152 + 152 = 0 0 + 14x = 100 + 152 14x = 100 + 152 Combine like terms: 100 + 152 = 252 14x = 252 Divide each side by '14'. x = 18 Simplifying x = 18
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