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Simplifying 2(3x + 3 + -1x) + 2 = 2x + 16 Reorder the terms: 2(3 + 3x + -1x) + 2 = 2x + 16 Combine like terms: 3x + -1x = 2x 2(3 + 2x) + 2 = 2x + 16 (3 * 2 + 2x * 2) + 2 = 2x + 16 (6 + 4x) + 2 = 2x + 16 Reorder the terms: 6 + 2 + 4x = 2x + 16 Combine like terms: 6 + 2 = 8 8 + 4x = 2x + 16 Reorder the terms: 8 + 4x = 16 + 2x Solving 8 + 4x = 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. 8 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 16 + 0 8 + 2x = 16 Add '-8' to each side of the equation. 8 + -8 + 2x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 16 + -8 2x = 16 + -8 Combine like terms: 16 + -8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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