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Simplifying (2x + 1) * 8 = (3x + 3) * 5 Reorder the terms: (1 + 2x) * 8 = (3x + 3) * 5 Reorder the terms for easier multiplication: 8(1 + 2x) = (3x + 3) * 5 (1 * 8 + 2x * 8) = (3x + 3) * 5 (8 + 16x) = (3x + 3) * 5 Reorder the terms: 8 + 16x = (3 + 3x) * 5 Reorder the terms for easier multiplication: 8 + 16x = 5(3 + 3x) 8 + 16x = (3 * 5 + 3x * 5) 8 + 16x = (15 + 15x) Solving 8 + 16x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 16x + -15x = 15 + 15x + -15x Combine like terms: 16x + -15x = 1x 8 + 1x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + 1x = 15 + 0 8 + 1x = 15 Add '-8' to each side of the equation. 8 + -8 + 1x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 15 + -8 1x = 15 + -8 Combine like terms: 15 + -8 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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