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Simplifying 2(3x + 2) = 3x + 19 Reorder the terms: 2(2 + 3x) = 3x + 19 (2 * 2 + 3x * 2) = 3x + 19 (4 + 6x) = 3x + 19 Reorder the terms: 4 + 6x = 19 + 3x Solving 4 + 6x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 6x + -3x = 19 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = 19 + 0 4 + 3x = 19 Add '-4' to each side of the equation. 4 + -4 + 3x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 19 + -4 3x = 19 + -4 Combine like terms: 19 + -4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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