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Simplifying -2(4x + 7) = -5x + -38 Reorder the terms: -2(7 + 4x) = -5x + -38 (7 * -2 + 4x * -2) = -5x + -38 (-14 + -8x) = -5x + -38 Reorder the terms: -14 + -8x = -38 + -5x Solving -14 + -8x = -38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + -8x + 5x = -38 + -5x + 5x Combine like terms: -8x + 5x = -3x -14 + -3x = -38 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + -3x = -38 + 0 -14 + -3x = -38 Add '14' to each side of the equation. -14 + 14 + -3x = -38 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -38 + 14 -3x = -38 + 14 Combine like terms: -38 + 14 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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