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Simplifying 24 = 2(x + 3) + 2(2x) Reorder the terms: 24 = 2(3 + x) + 2(2x) 24 = (3 * 2 + x * 2) + 2(2x) 24 = (6 + 2x) + 2(2x) Remove parenthesis around (2x) 24 = 6 + 2x + 2 * 2x Multiply 2 * 2 24 = 6 + 2x + 4x Combine like terms: 2x + 4x = 6x 24 = 6 + 6x Solving 24 = 6 + 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. 24 + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -6x = 6 + 0 24 + -6x = 6 Add '-24' to each side of the equation. 24 + -24 + -6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 6 + -24 -6x = 6 + -24 Combine like terms: 6 + -24 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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