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Simplifying 8x + -12 = 42 + 7x Reorder the terms: -12 + 8x = 42 + 7x Solving -12 + 8x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 8x + -7x = 42 + 7x + -7x Combine like terms: 8x + -7x = 1x -12 + 1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 1x = 42 + 0 -12 + 1x = 42 Add '12' to each side of the equation. -12 + 12 + 1x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 42 + 12 1x = 42 + 12 Combine like terms: 42 + 12 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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