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Simplifying 3x + -4 + 12 = 4x + -1 + 8x Reorder the terms: -4 + 12 + 3x = 4x + -1 + 8x Combine like terms: -4 + 12 = 8 8 + 3x = 4x + -1 + 8x Reorder the terms: 8 + 3x = -1 + 4x + 8x Combine like terms: 4x + 8x = 12x 8 + 3x = -1 + 12x Solving 8 + 3x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 3x + -12x = -1 + 12x + -12x Combine like terms: 3x + -12x = -9x 8 + -9x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -9x = -1 + 0 8 + -9x = -1 Add '-8' to each side of the equation. 8 + -8 + -9x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -1 + -8 -9x = -1 + -8 Combine like terms: -1 + -8 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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