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Simplifying -10x + 85 = 2x + -23 Reorder the terms: 85 + -10x = 2x + -23 Reorder the terms: 85 + -10x = -23 + 2x Solving 85 + -10x = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 85 + -10x + -2x = -23 + 2x + -2x Combine like terms: -10x + -2x = -12x 85 + -12x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 85 + -12x = -23 + 0 85 + -12x = -23 Add '-85' to each side of the equation. 85 + -85 + -12x = -23 + -85 Combine like terms: 85 + -85 = 0 0 + -12x = -23 + -85 -12x = -23 + -85 Combine like terms: -23 + -85 = -108 -12x = -108 Divide each side by '-12'. x = 9 Simplifying x = 9
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