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Simplifying 8(x + -4) = 4x + -2 Reorder the terms: 8(-4 + x) = 4x + -2 (-4 * 8 + x * 8) = 4x + -2 (-32 + 8x) = 4x + -2 Reorder the terms: -32 + 8x = -2 + 4x Solving -32 + 8x = -2 + 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. -32 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -32 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 4x = -2 + 0 -32 + 4x = -2 Add '32' to each side of the equation. -32 + 32 + 4x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -2 + 32 4x = -2 + 32 Combine like terms: -2 + 32 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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