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Simplifying -2(x + 7) = 6x + -38 Reorder the terms: -2(7 + x) = 6x + -38 (7 * -2 + x * -2) = 6x + -38 (-14 + -2x) = 6x + -38 Reorder the terms: -14 + -2x = -38 + 6x Solving -14 + -2x = -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. -14 + -2x + -6x = -38 + 6x + -6x Combine like terms: -2x + -6x = -8x -14 + -8x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -8x = -38 + 0 -14 + -8x = -38 Add '14' to each side of the equation. -14 + 14 + -8x = -38 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -38 + 14 -8x = -38 + 14 Combine like terms: -38 + 14 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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