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Simplifying 8(x + 1) = 3(2x + 3) Reorder the terms: 8(1 + x) = 3(2x + 3) (1 * 8 + x * 8) = 3(2x + 3) (8 + 8x) = 3(2x + 3) Reorder the terms: 8 + 8x = 3(3 + 2x) 8 + 8x = (3 * 3 + 2x * 3) 8 + 8x = (9 + 6x) Solving 8 + 8x = 9 + 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. 8 + 8x + -6x = 9 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 9 + 0 8 + 2x = 9 Add '-8' to each side of the equation. 8 + -8 + 2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 9 + -8 2x = 9 + -8 Combine like terms: 9 + -8 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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