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Simplifying 3x + 1 = 2(x + 8) Reorder the terms: 1 + 3x = 2(x + 8) Reorder the terms: 1 + 3x = 2(8 + x) 1 + 3x = (8 * 2 + x * 2) 1 + 3x = (16 + 2x) Solving 1 + 3x = 16 + 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. 1 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 16 + 0 1 + 1x = 16 Add '-1' to each side of the equation. 1 + -1 + 1x = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 16 + -1 1x = 16 + -1 Combine like terms: 16 + -1 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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