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Simplifying 3x + 5 = 2(x + 6) Reorder the terms: 5 + 3x = 2(x + 6) Reorder the terms: 5 + 3x = 2(6 + x) 5 + 3x = (6 * 2 + x * 2) 5 + 3x = (12 + 2x) Solving 5 + 3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 12 + 0 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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