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Simplifying 3x + 6 + -1x + -8 = 4x + 12 Reorder the terms: 6 + -8 + 3x + -1x = 4x + 12 Combine like terms: 6 + -8 = -2 -2 + 3x + -1x = 4x + 12 Combine like terms: 3x + -1x = 2x -2 + 2x = 4x + 12 Reorder the terms: -2 + 2x = 12 + 4x Solving -2 + 2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = 12 + 0 -2 + -2x = 12 Add '2' to each side of the equation. -2 + 2 + -2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 12 + 2 -2x = 12 + 2 Combine like terms: 12 + 2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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