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Simplifying (4x + 7) * 2 = (x + 18) * 6 Reorder the terms: (7 + 4x) * 2 = (x + 18) * 6 Reorder the terms for easier multiplication: 2(7 + 4x) = (x + 18) * 6 (7 * 2 + 4x * 2) = (x + 18) * 6 (14 + 8x) = (x + 18) * 6 Reorder the terms: 14 + 8x = (18 + x) * 6 Reorder the terms for easier multiplication: 14 + 8x = 6(18 + x) 14 + 8x = (18 * 6 + x * 6) 14 + 8x = (108 + 6x) Solving 14 + 8x = 108 + 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. 14 + 8x + -6x = 108 + 6x + -6x Combine like terms: 8x + -6x = 2x 14 + 2x = 108 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 2x = 108 + 0 14 + 2x = 108 Add '-14' to each side of the equation. 14 + -14 + 2x = 108 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 108 + -14 2x = 108 + -14 Combine like terms: 108 + -14 = 94 2x = 94 Divide each side by '2'. x = 47 Simplifying x = 47
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