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Simplifying 12x + 4 = 6x + 1 + 3x + 6 Reorder the terms: 4 + 12x = 6x + 1 + 3x + 6 Reorder the terms: 4 + 12x = 1 + 6 + 6x + 3x Combine like terms: 1 + 6 = 7 4 + 12x = 7 + 6x + 3x Combine like terms: 6x + 3x = 9x 4 + 12x = 7 + 9x Solving 4 + 12x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 12x + -9x = 7 + 9x + -9x Combine like terms: 12x + -9x = 3x 4 + 3x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 3x = 7 + 0 4 + 3x = 7 Add '-4' to each side of the equation. 4 + -4 + 3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 7 + -4 3x = 7 + -4 Combine like terms: 7 + -4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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