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Simplifying 3x + 7x + -12 = 43 + 10 + -3 + 8x Reorder the terms: -12 + 3x + 7x = 43 + 10 + -3 + 8x Combine like terms: 3x + 7x = 10x -12 + 10x = 43 + 10 + -3 + 8x Combine like terms: 43 + 10 = 53 -12 + 10x = 53 + -3 + 8x Combine like terms: 53 + -3 = 50 -12 + 10x = 50 + 8x Solving -12 + 10x = 50 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 10x + -8x = 50 + 8x + -8x Combine like terms: 10x + -8x = 2x -12 + 2x = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 2x = 50 + 0 -12 + 2x = 50 Add '12' to each side of the equation. -12 + 12 + 2x = 50 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 50 + 12 2x = 50 + 12 Combine like terms: 50 + 12 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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