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Simplifying (2x + 2) * 3 = (x + 8) * 4 Reorder the terms: (2 + 2x) * 3 = (x + 8) * 4 Reorder the terms for easier multiplication: 3(2 + 2x) = (x + 8) * 4 (2 * 3 + 2x * 3) = (x + 8) * 4 (6 + 6x) = (x + 8) * 4 Reorder the terms: 6 + 6x = (8 + x) * 4 Reorder the terms for easier multiplication: 6 + 6x = 4(8 + x) 6 + 6x = (8 * 4 + x * 4) 6 + 6x = (32 + 4x) Solving 6 + 6x = 32 + 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. 6 + 6x + -4x = 32 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = 32 + 0 6 + 2x = 32 Add '-6' to each side of the equation. 6 + -6 + 2x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 32 + -6 2x = 32 + -6 Combine like terms: 32 + -6 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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