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Simplifying 3x + 12 = 5x + 6 Reorder the terms: 12 + 3x = 5x + 6 Reorder the terms: 12 + 3x = 6 + 5x Solving 12 + 3x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = 6 + 0 12 + -2x = 6 Add '-12' to each side of the equation. 12 + -12 + -2x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 6 + -12 -2x = 6 + -12 Combine like terms: 6 + -12 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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