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Simplifying 6(x + 3) = 4(x + 11.5) Reorder the terms: 6(3 + x) = 4(x + 11.5) (3 * 6 + x * 6) = 4(x + 11.5) (18 + 6x) = 4(x + 11.5) Reorder the terms: 18 + 6x = 4(11.5 + x) 18 + 6x = (11.5 * 4 + x * 4) 18 + 6x = (46 + 4x) Solving 18 + 6x = 46 + 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. 18 + 6x + -4x = 46 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = 46 + 0 18 + 2x = 46 Add '-18' to each side of the equation. 18 + -18 + 2x = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 46 + -18 2x = 46 + -18 Combine like terms: 46 + -18 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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