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Simplifying -8(x + 4) = 2(x + -4) Reorder the terms: -8(4 + x) = 2(x + -4) (4 * -8 + x * -8) = 2(x + -4) (-32 + -8x) = 2(x + -4) Reorder the terms: -32 + -8x = 2(-4 + x) -32 + -8x = (-4 * 2 + x * 2) -32 + -8x = (-8 + 2x) Solving -32 + -8x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + -8x + -2x = -8 + 2x + -2x Combine like terms: -8x + -2x = -10x -32 + -10x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + -10x = -8 + 0 -32 + -10x = -8 Add '32' to each side of the equation. -32 + 32 + -10x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -10x = -8 + 32 -10x = -8 + 32 Combine like terms: -8 + 32 = 24 -10x = 24 Divide each side by '-10'. x = -2.4 Simplifying x = -2.4
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