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Simplifying 12x + -100 = 152 + -6x Reorder the terms: -100 + 12x = 152 + -6x Solving -100 + 12x = 152 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -100 + 12x + 6x = 152 + -6x + 6x Combine like terms: 12x + 6x = 18x -100 + 18x = 152 + -6x + 6x Combine like terms: -6x + 6x = 0 -100 + 18x = 152 + 0 -100 + 18x = 152 Add '100' to each side of the equation. -100 + 100 + 18x = 152 + 100 Combine like terms: -100 + 100 = 0 0 + 18x = 152 + 100 18x = 152 + 100 Combine like terms: 152 + 100 = 252 18x = 252 Divide each side by '18'. x = 14 Simplifying x = 14
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