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Simplifying 5 + 8x = 3(2x + 1) Reorder the terms: 5 + 8x = 3(1 + 2x) 5 + 8x = (1 * 3 + 2x * 3) 5 + 8x = (3 + 6x) Solving 5 + 8x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 8x + -6x = 3 + 6x + -6x Combine like terms: 8x + -6x = 2x 5 + 2x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 2x = 3 + 0 5 + 2x = 3 Add '-5' to each side of the equation. 5 + -5 + 2x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 3 + -5 2x = 3 + -5 Combine like terms: 3 + -5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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