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Simplifying x * 8 + -31 = x * 6 + -7 Reorder the terms for easier multiplication: 8x + -31 = x * 6 + -7 Reorder the terms: -31 + 8x = x * 6 + -7 Reorder the terms for easier multiplication: -31 + 8x = 6x + -7 Reorder the terms: -31 + 8x = -7 + 6x Solving -31 + 8x = -7 + 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. -31 + 8x + -6x = -7 + 6x + -6x Combine like terms: 8x + -6x = 2x -31 + 2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -31 + 2x = -7 + 0 -31 + 2x = -7 Add '31' to each side of the equation. -31 + 31 + 2x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = -7 + 31 2x = -7 + 31 Combine like terms: -7 + 31 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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