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Simplifying 7x + 5 + -2 = 8x + 12 Reorder the terms: 5 + -2 + 7x = 8x + 12 Combine like terms: 5 + -2 = 3 3 + 7x = 8x + 12 Reorder the terms: 3 + 7x = 12 + 8x Solving 3 + 7x = 12 + 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. 3 + 7x + -8x = 12 + 8x + -8x Combine like terms: 7x + -8x = -1x 3 + -1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -1x = 12 + 0 3 + -1x = 12 Add '-3' to each side of the equation. 3 + -3 + -1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 12 + -3 -1x = 12 + -3 Combine like terms: 12 + -3 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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