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Simplifying 3(2x + 4) = 2(2x) + 38 Reorder the terms: 3(4 + 2x) = 2(2x) + 38 (4 * 3 + 2x * 3) = 2(2x) + 38 (12 + 6x) = 2(2x) + 38 Remove parenthesis around (2x) 12 + 6x = 2 * 2x + 38 Multiply 2 * 2 12 + 6x = 4x + 38 Reorder the terms: 12 + 6x = 38 + 4x Solving 12 + 6x = 38 + 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. 12 + 6x + -4x = 38 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 38 + 0 12 + 2x = 38 Add '-12' to each side of the equation. 12 + -12 + 2x = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 38 + -12 2x = 38 + -12 Combine like terms: 38 + -12 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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