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Simplifying 2(3x + 9) = 4(x + 10) Reorder the terms: 2(9 + 3x) = 4(x + 10) (9 * 2 + 3x * 2) = 4(x + 10) (18 + 6x) = 4(x + 10) Reorder the terms: 18 + 6x = 4(10 + x) 18 + 6x = (10 * 4 + x * 4) 18 + 6x = (40 + 4x) Solving 18 + 6x = 40 + 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 = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = 40 + 0 18 + 2x = 40 Add '-18' to each side of the equation. 18 + -18 + 2x = 40 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 40 + -18 2x = 40 + -18 Combine like terms: 40 + -18 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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