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Simplifying -2(x + 4) = 4x + 40 Reorder the terms: -2(4 + x) = 4x + 40 (4 * -2 + x * -2) = 4x + 40 (-8 + -2x) = 4x + 40 Reorder the terms: -8 + -2x = 40 + 4x Solving -8 + -2x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + -2x + -4x = 40 + 4x + -4x Combine like terms: -2x + -4x = -6x -8 + -6x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -6x = 40 + 0 -8 + -6x = 40 Add '8' to each side of the equation. -8 + 8 + -6x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 40 + 8 -6x = 40 + 8 Combine like terms: 40 + 8 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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