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Simplifying -6(5x + -2) + -2(4x + 4) = -34 Reorder the terms: -6(-2 + 5x) + -2(4x + 4) = -34 (-2 * -6 + 5x * -6) + -2(4x + 4) = -34 (12 + -30x) + -2(4x + 4) = -34 Reorder the terms: 12 + -30x + -2(4 + 4x) = -34 12 + -30x + (4 * -2 + 4x * -2) = -34 12 + -30x + (-8 + -8x) = -34 Reorder the terms: 12 + -8 + -30x + -8x = -34 Combine like terms: 12 + -8 = 4 4 + -30x + -8x = -34 Combine like terms: -30x + -8x = -38x 4 + -38x = -34 Solving 4 + -38x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -38x = -34 + -4 Combine like terms: 4 + -4 = 0 0 + -38x = -34 + -4 -38x = -34 + -4 Combine like terms: -34 + -4 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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