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Simplifying -2(x + 4) = 3x + -38 Reorder the terms: -2(4 + x) = 3x + -38 (4 * -2 + x * -2) = 3x + -38 (-8 + -2x) = 3x + -38 Reorder the terms: -8 + -2x = -38 + 3x Solving -8 + -2x = -38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -2x + -3x = -38 + 3x + -3x Combine like terms: -2x + -3x = -5x -8 + -5x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -5x = -38 + 0 -8 + -5x = -38 Add '8' to each side of the equation. -8 + 8 + -5x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -38 + 8 -5x = -38 + 8 Combine like terms: -38 + 8 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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