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Simplifying 19x + 3(4x + 9) = -6x + -38 Reorder the terms: 19x + 3(9 + 4x) = -6x + -38 19x + (9 * 3 + 4x * 3) = -6x + -38 19x + (27 + 12x) = -6x + -38 Reorder the terms: 27 + 19x + 12x = -6x + -38 Combine like terms: 19x + 12x = 31x 27 + 31x = -6x + -38 Reorder the terms: 27 + 31x = -38 + -6x Solving 27 + 31x = -38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 27 + 31x + 6x = -38 + -6x + 6x Combine like terms: 31x + 6x = 37x 27 + 37x = -38 + -6x + 6x Combine like terms: -6x + 6x = 0 27 + 37x = -38 + 0 27 + 37x = -38 Add '-27' to each side of the equation. 27 + -27 + 37x = -38 + -27 Combine like terms: 27 + -27 = 0 0 + 37x = -38 + -27 37x = -38 + -27 Combine like terms: -38 + -27 = -65 37x = -65 Divide each side by '37'. x = -1.756756757 Simplifying x = -1.756756757
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