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Simplifying 6x + 83 + -8x = 3x + 23 + 7x Reorder the terms: 83 + 6x + -8x = 3x + 23 + 7x Combine like terms: 6x + -8x = -2x 83 + -2x = 3x + 23 + 7x Reorder the terms: 83 + -2x = 23 + 3x + 7x Combine like terms: 3x + 7x = 10x 83 + -2x = 23 + 10x Solving 83 + -2x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 83 + -2x + -10x = 23 + 10x + -10x Combine like terms: -2x + -10x = -12x 83 + -12x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 83 + -12x = 23 + 0 83 + -12x = 23 Add '-83' to each side of the equation. 83 + -83 + -12x = 23 + -83 Combine like terms: 83 + -83 = 0 0 + -12x = 23 + -83 -12x = 23 + -83 Combine like terms: 23 + -83 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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