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Simplifying -142 + -5x = 61 + -12x Solving -142 + -5x = 61 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -142 + -5x + 12x = 61 + -12x + 12x Combine like terms: -5x + 12x = 7x -142 + 7x = 61 + -12x + 12x Combine like terms: -12x + 12x = 0 -142 + 7x = 61 + 0 -142 + 7x = 61 Add '142' to each side of the equation. -142 + 142 + 7x = 61 + 142 Combine like terms: -142 + 142 = 0 0 + 7x = 61 + 142 7x = 61 + 142 Combine like terms: 61 + 142 = 203 7x = 203 Divide each side by '7'. x = 29 Simplifying x = 29
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