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Simplifying 7 + -7x + -2 = -54 + 5x + -13 Reorder the terms: 7 + -2 + -7x = -54 + 5x + -13 Combine like terms: 7 + -2 = 5 5 + -7x = -54 + 5x + -13 Reorder the terms: 5 + -7x = -54 + -13 + 5x Combine like terms: -54 + -13 = -67 5 + -7x = -67 + 5x Solving 5 + -7x = -67 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + -7x + -5x = -67 + 5x + -5x Combine like terms: -7x + -5x = -12x 5 + -12x = -67 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -12x = -67 + 0 5 + -12x = -67 Add '-5' to each side of the equation. 5 + -5 + -12x = -67 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -67 + -5 -12x = -67 + -5 Combine like terms: -67 + -5 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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