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Simplifying 2(x + 6) = 5 + (12 + -3x) Reorder the terms: 2(6 + x) = 5 + (12 + -3x) (6 * 2 + x * 2) = 5 + (12 + -3x) (12 + 2x) = 5 + (12 + -3x) Remove parenthesis around (12 + -3x) 12 + 2x = 5 + 12 + -3x Combine like terms: 5 + 12 = 17 12 + 2x = 17 + -3x Solving 12 + 2x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 2x + 3x = 17 + -3x + 3x Combine like terms: 2x + 3x = 5x 12 + 5x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 5x = 17 + 0 12 + 5x = 17 Add '-12' to each side of the equation. 12 + -12 + 5x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 17 + -12 5x = 17 + -12 Combine like terms: 17 + -12 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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