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Simplifying 12x + 3 + -8x = 7x + 9 + 3 Reorder the terms: 3 + 12x + -8x = 7x + 9 + 3 Combine like terms: 12x + -8x = 4x 3 + 4x = 7x + 9 + 3 Reorder the terms: 3 + 4x = 9 + 3 + 7x Combine like terms: 9 + 3 = 12 3 + 4x = 12 + 7x Solving 3 + 4x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 4x + -7x = 12 + 7x + -7x Combine like terms: 4x + -7x = -3x 3 + -3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -3x = 12 + 0 3 + -3x = 12 Add '-3' to each side of the equation. 3 + -3 + -3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 12 + -3 -3x = 12 + -3 Combine like terms: 12 + -3 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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