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Simplifying 3x + 5 + 6x + 2 = 12x + 1 Reorder the terms: 5 + 2 + 3x + 6x = 12x + 1 Combine like terms: 5 + 2 = 7 7 + 3x + 6x = 12x + 1 Combine like terms: 3x + 6x = 9x 7 + 9x = 12x + 1 Reorder the terms: 7 + 9x = 1 + 12x Solving 7 + 9x = 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. 7 + 9x + -12x = 1 + 12x + -12x Combine like terms: 9x + -12x = -3x 7 + -3x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -3x = 1 + 0 7 + -3x = 1 Add '-7' to each side of the equation. 7 + -7 + -3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 1 + -7 -3x = 1 + -7 Combine like terms: 1 + -7 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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