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Simplifying 23x + -52 + -17x = 80 + -6x + -12 Reorder the terms: -52 + 23x + -17x = 80 + -6x + -12 Combine like terms: 23x + -17x = 6x -52 + 6x = 80 + -6x + -12 Reorder the terms: -52 + 6x = 80 + -12 + -6x Combine like terms: 80 + -12 = 68 -52 + 6x = 68 + -6x Solving -52 + 6x = 68 + -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. -52 + 6x + 6x = 68 + -6x + 6x Combine like terms: 6x + 6x = 12x -52 + 12x = 68 + -6x + 6x Combine like terms: -6x + 6x = 0 -52 + 12x = 68 + 0 -52 + 12x = 68 Add '52' to each side of the equation. -52 + 52 + 12x = 68 + 52 Combine like terms: -52 + 52 = 0 0 + 12x = 68 + 52 12x = 68 + 52 Combine like terms: 68 + 52 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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