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Simplifying -2(x + 8) + -2(x + 4) = 2x + 2x Reorder the terms: -2(8 + x) + -2(x + 4) = 2x + 2x (8 * -2 + x * -2) + -2(x + 4) = 2x + 2x (-16 + -2x) + -2(x + 4) = 2x + 2x Reorder the terms: -16 + -2x + -2(4 + x) = 2x + 2x -16 + -2x + (4 * -2 + x * -2) = 2x + 2x -16 + -2x + (-8 + -2x) = 2x + 2x Reorder the terms: -16 + -8 + -2x + -2x = 2x + 2x Combine like terms: -16 + -8 = -24 -24 + -2x + -2x = 2x + 2x Combine like terms: -2x + -2x = -4x -24 + -4x = 2x + 2x Combine like terms: 2x + 2x = 4x -24 + -4x = 4x Solving -24 + -4x = 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. -24 + -4x + -4x = 4x + -4x Combine like terms: -4x + -4x = -8x -24 + -8x = 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -8x = 0 Add '24' to each side of the equation. -24 + 24 + -8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 0 + 24 -8x = 0 + 24 Combine like terms: 0 + 24 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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