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Simplifying -4x + -36 = -4(1 + 2x) Reorder the terms: -36 + -4x = -4(1 + 2x) -36 + -4x = (1 * -4 + 2x * -4) -36 + -4x = (-4 + -8x) Solving -36 + -4x = -4 + -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 = -4 + -8x + 8x Combine like terms: -4x + 8x = 4x -36 + 4x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 4x = -4 + 0 -36 + 4x = -4 Add '36' to each side of the equation. -36 + 36 + 4x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -4 + 36 4x = -4 + 36 Combine like terms: -4 + 36 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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