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Simplifying 2(3x + 6) = 3(x + 10) + 19 Reorder the terms: 2(6 + 3x) = 3(x + 10) + 19 (6 * 2 + 3x * 2) = 3(x + 10) + 19 (12 + 6x) = 3(x + 10) + 19 Reorder the terms: 12 + 6x = 3(10 + x) + 19 12 + 6x = (10 * 3 + x * 3) + 19 12 + 6x = (30 + 3x) + 19 Reorder the terms: 12 + 6x = 30 + 19 + 3x Combine like terms: 30 + 19 = 49 12 + 6x = 49 + 3x Solving 12 + 6x = 49 + 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 = 49 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 49 + 0 12 + 3x = 49 Add '-12' to each side of the equation. 12 + -12 + 3x = 49 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 49 + -12 3x = 49 + -12 Combine like terms: 49 + -12 = 37 3x = 37 Divide each side by '3'. x = 12.33333333 Simplifying x = 12.33333333
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