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Simplifying 19(2x + 3) = 2(x + 3) + x Reorder the terms: 19(3 + 2x) = 2(x + 3) + x (3 * 19 + 2x * 19) = 2(x + 3) + x (57 + 38x) = 2(x + 3) + x Reorder the terms: 57 + 38x = 2(3 + x) + x 57 + 38x = (3 * 2 + x * 2) + x 57 + 38x = (6 + 2x) + x Combine like terms: 2x + x = 3x 57 + 38x = 6 + 3x Solving 57 + 38x = 6 + 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. 57 + 38x + -3x = 6 + 3x + -3x Combine like terms: 38x + -3x = 35x 57 + 35x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 57 + 35x = 6 + 0 57 + 35x = 6 Add '-57' to each side of the equation. 57 + -57 + 35x = 6 + -57 Combine like terms: 57 + -57 = 0 0 + 35x = 6 + -57 35x = 6 + -57 Combine like terms: 6 + -57 = -51 35x = -51 Divide each side by '35'. x = -1.457142857 Simplifying x = -1.457142857
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