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Simplifying 8(x + -4) = 4(x + -13) Reorder the terms: 8(-4 + x) = 4(x + -13) (-4 * 8 + x * 8) = 4(x + -13) (-32 + 8x) = 4(x + -13) Reorder the terms: -32 + 8x = 4(-13 + x) -32 + 8x = (-13 * 4 + x * 4) -32 + 8x = (-52 + 4x) Solving -32 + 8x = -52 + 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 = -52 + 4x + -4x Combine like terms: 8x + -4x = 4x -32 + 4x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 4x = -52 + 0 -32 + 4x = -52 Add '32' to each side of the equation. -32 + 32 + 4x = -52 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -52 + 32 4x = -52 + 32 Combine like terms: -52 + 32 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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