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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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