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Simplifying 2(3x + 8) = 5(x + 2) Reorder the terms: 2(8 + 3x) = 5(x + 2) (8 * 2 + 3x * 2) = 5(x + 2) (16 + 6x) = 5(x + 2) Reorder the terms: 16 + 6x = 5(2 + x) 16 + 6x = (2 * 5 + x * 5) 16 + 6x = (10 + 5x) Solving 16 + 6x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 16 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 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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