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Simplifying -4x + 36 = -8(x + -4) Reorder the terms: 36 + -4x = -8(x + -4) Reorder the terms: 36 + -4x = -8(-4 + x) 36 + -4x = (-4 * -8 + x * -8) 36 + -4x = (32 + -8x) Solving 36 + -4x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 36 + -4x + 8x = 32 + -8x + 8x Combine like terms: -4x + 8x = 4x 36 + 4x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 36 + 4x = 32 + 0 36 + 4x = 32 Add '-36' to each side of the equation. 36 + -36 + 4x = 32 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 32 + -36 4x = 32 + -36 Combine like terms: 32 + -36 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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