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Simplifying 12 + 3x = 5(x + 2) + 2 Reorder the terms: 12 + 3x = 5(2 + x) + 2 12 + 3x = (2 * 5 + x * 5) + 2 12 + 3x = (10 + 5x) + 2 Reorder the terms: 12 + 3x = 10 + 2 + 5x Combine like terms: 10 + 2 = 12 12 + 3x = 12 + 5x Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -12 + 5x Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -12 + 5x 3x = 12 + -12 + 5x Combine like terms: 12 + -12 = 0 3x = 0 + 5x 3x = 5x Solving 3x = 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. 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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