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Simplifying -2(3x + -4) + -1(2x + 6) = -38 Reorder the terms: -2(-4 + 3x) + -1(2x + 6) = -38 (-4 * -2 + 3x * -2) + -1(2x + 6) = -38 (8 + -6x) + -1(2x + 6) = -38 Reorder the terms: 8 + -6x + -1(6 + 2x) = -38 8 + -6x + (6 * -1 + 2x * -1) = -38 8 + -6x + (-6 + -2x) = -38 Reorder the terms: 8 + -6 + -6x + -2x = -38 Combine like terms: 8 + -6 = 2 2 + -6x + -2x = -38 Combine like terms: -6x + -2x = -8x 2 + -8x = -38 Solving 2 + -8x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8x = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -38 + -2 -8x = -38 + -2 Combine like terms: -38 + -2 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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