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Simplifying 2(3x + 6) = 3(x + 19) Reorder the terms: 2(6 + 3x) = 3(x + 19) (6 * 2 + 3x * 2) = 3(x + 19) (12 + 6x) = 3(x + 19) Reorder the terms: 12 + 6x = 3(19 + x) 12 + 6x = (19 * 3 + x * 3) 12 + 6x = (57 + 3x) Solving 12 + 6x = 57 + 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. 12 + 6x + -3x = 57 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 57 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 57 + 0 12 + 3x = 57 Add '-12' to each side of the equation. 12 + -12 + 3x = 57 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 57 + -12 3x = 57 + -12 Combine like terms: 57 + -12 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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