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Simplifying -4(2x + -16) = -4(x + 13) + -12 Reorder the terms: -4(-16 + 2x) = -4(x + 13) + -12 (-16 * -4 + 2x * -4) = -4(x + 13) + -12 (64 + -8x) = -4(x + 13) + -12 Reorder the terms: 64 + -8x = -4(13 + x) + -12 64 + -8x = (13 * -4 + x * -4) + -12 64 + -8x = (-52 + -4x) + -12 Reorder the terms: 64 + -8x = -52 + -12 + -4x Combine like terms: -52 + -12 = -64 64 + -8x = -64 + -4x Solving 64 + -8x = -64 + -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. 64 + -8x + 4x = -64 + -4x + 4x Combine like terms: -8x + 4x = -4x 64 + -4x = -64 + -4x + 4x Combine like terms: -4x + 4x = 0 64 + -4x = -64 + 0 64 + -4x = -64 Add '-64' to each side of the equation. 64 + -64 + -4x = -64 + -64 Combine like terms: 64 + -64 = 0 0 + -4x = -64 + -64 -4x = -64 + -64 Combine like terms: -64 + -64 = -128 -4x = -128 Divide each side by '-4'. x = 32 Simplifying x = 32
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