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Simplifying 2x + 8 + 3(x + -2) = 12 Reorder the terms: 2x + 8 + 3(-2 + x) = 12 2x + 8 + (-2 * 3 + x * 3) = 12 2x + 8 + (-6 + 3x) = 12 Reorder the terms: 8 + -6 + 2x + 3x = 12 Combine like terms: 8 + -6 = 2 2 + 2x + 3x = 12 Combine like terms: 2x + 3x = 5x 2 + 5x = 12 Solving 2 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 12 + -2 5x = 12 + -2 Combine like terms: 12 + -2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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