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Simplifying -5x + -186 = 7x + 78 Reorder the terms: -186 + -5x = 7x + 78 Reorder the terms: -186 + -5x = 78 + 7x Solving -186 + -5x = 78 + 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. -186 + -5x + -7x = 78 + 7x + -7x Combine like terms: -5x + -7x = -12x -186 + -12x = 78 + 7x + -7x Combine like terms: 7x + -7x = 0 -186 + -12x = 78 + 0 -186 + -12x = 78 Add '186' to each side of the equation. -186 + 186 + -12x = 78 + 186 Combine like terms: -186 + 186 = 0 0 + -12x = 78 + 186 -12x = 78 + 186 Combine like terms: 78 + 186 = 264 -12x = 264 Divide each side by '-12'. x = -22 Simplifying x = -22
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