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Simplifying 2(x + 4) = 8(x + -4) Reorder the terms: 2(4 + x) = 8(x + -4) (4 * 2 + x * 2) = 8(x + -4) (8 + 2x) = 8(x + -4) Reorder the terms: 8 + 2x = 8(-4 + x) 8 + 2x = (-4 * 8 + x * 8) 8 + 2x = (-32 + 8x) Solving 8 + 2x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 2x + -8x = -32 + 8x + -8x Combine like terms: 2x + -8x = -6x 8 + -6x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -6x = -32 + 0 8 + -6x = -32 Add '-8' to each side of the equation. 8 + -8 + -6x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -32 + -8 -6x = -32 + -8 Combine like terms: -32 + -8 = -40 -6x = -40 Divide each side by '-6'. x = 6.666666667 Simplifying x = 6.666666667
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