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Simplifying 2(x + -4) = 8(x + 2) Reorder the terms: 2(-4 + x) = 8(x + 2) (-4 * 2 + x * 2) = 8(x + 2) (-8 + 2x) = 8(x + 2) Reorder the terms: -8 + 2x = 8(2 + x) -8 + 2x = (2 * 8 + x * 8) -8 + 2x = (16 + 8x) Solving -8 + 2x = 16 + 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 = 16 + 8x + -8x Combine like terms: 2x + -8x = -6x -8 + -6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -6x = 16 + 0 -8 + -6x = 16 Add '8' to each side of the equation. -8 + 8 + -6x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 16 + 8 -6x = 16 + 8 Combine like terms: 16 + 8 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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