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Simplifying 3x + 16 = 2(2x + 5) Reorder the terms: 16 + 3x = 2(2x + 5) Reorder the terms: 16 + 3x = 2(5 + 2x) 16 + 3x = (5 * 2 + 2x * 2) 16 + 3x = (10 + 4x) Solving 16 + 3x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x 16 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -1x = 10 + 0 16 + -1x = 10 Add '-16' to each side of the equation. 16 + -16 + -1x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 10 + -16 -1x = 10 + -16 Combine like terms: 10 + -16 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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