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Simplifying 7 + 12x + -3 = 9x + 31 + -6x Reorder the terms: 7 + -3 + 12x = 9x + 31 + -6x Combine like terms: 7 + -3 = 4 4 + 12x = 9x + 31 + -6x Reorder the terms: 4 + 12x = 31 + 9x + -6x Combine like terms: 9x + -6x = 3x 4 + 12x = 31 + 3x Solving 4 + 12x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 12x + -3x = 31 + 3x + -3x Combine like terms: 12x + -3x = 9x 4 + 9x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 9x = 31 + 0 4 + 9x = 31 Add '-4' to each side of the equation. 4 + -4 + 9x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 31 + -4 9x = 31 + -4 Combine like terms: 31 + -4 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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