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Simplifying 19(4x + 2) = 6(-1) + 9(3) Reorder the terms: 19(2 + 4x) = 6(-1) + 9(3) (2 * 19 + 4x * 19) = 6(-1) + 9(3) (38 + 76x) = 6(-1) + 9(3) Multiply 6 * -1 38 + 76x = -6 + 9(3) Multiply 9 * 3 38 + 76x = -6 + 27 Combine like terms: -6 + 27 = 21 38 + 76x = 21 Solving 38 + 76x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 76x = 21 + -38 Combine like terms: 38 + -38 = 0 0 + 76x = 21 + -38 76x = 21 + -38 Combine like terms: 21 + -38 = -17 76x = -17 Divide each side by '76'. x = -0.2236842105 Simplifying x = -0.2236842105
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