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Simplifying 3x + -2 + 4x + 7 = 8x + -12 Reorder the terms: -2 + 7 + 3x + 4x = 8x + -12 Combine like terms: -2 + 7 = 5 5 + 3x + 4x = 8x + -12 Combine like terms: 3x + 4x = 7x 5 + 7x = 8x + -12 Reorder the terms: 5 + 7x = -12 + 8x Solving 5 + 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. 5 + 7x + -8x = -12 + 8x + -8x Combine like terms: 7x + -8x = -1x 5 + -1x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -1x = -12 + 0 5 + -1x = -12 Add '-5' to each side of the equation. 5 + -5 + -1x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -12 + -5 -1x = -12 + -5 Combine like terms: -12 + -5 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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