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Simplifying -5x + 6 = 7x + 102 Reorder the terms: 6 + -5x = 7x + 102 Reorder the terms: 6 + -5x = 102 + 7x Solving 6 + -5x = 102 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -5x + -7x = 102 + 7x + -7x Combine like terms: -5x + -7x = -12x 6 + -12x = 102 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -12x = 102 + 0 6 + -12x = 102 Add '-6' to each side of the equation. 6 + -6 + -12x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 102 + -6 -12x = 102 + -6 Combine like terms: 102 + -6 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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