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Simplifying 12x + 7 + -9x = -3 + 2x + 6 Reorder the terms: 7 + 12x + -9x = -3 + 2x + 6 Combine like terms: 12x + -9x = 3x 7 + 3x = -3 + 2x + 6 Reorder the terms: 7 + 3x = -3 + 6 + 2x Combine like terms: -3 + 6 = 3 7 + 3x = 3 + 2x Solving 7 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 7 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x = 3 + 0 7 + 1x = 3 Add '-7' to each side of the equation. 7 + -7 + 1x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 3 + -7 1x = 3 + -7 Combine like terms: 3 + -7 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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