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Simplifying 3x + -2(-3x + -19) = -34 Reorder the terms: 3x + -2(-19 + -3x) = -34 3x + (-19 * -2 + -3x * -2) = -34 3x + (38 + 6x) = -34 Reorder the terms: 38 + 3x + 6x = -34 Combine like terms: 3x + 6x = 9x 38 + 9x = -34 Solving 38 + 9x = -34 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 + 9x = -34 + -38 Combine like terms: 38 + -38 = 0 0 + 9x = -34 + -38 9x = -34 + -38 Combine like terms: -34 + -38 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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