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Simplifying -5x + -2(x + -4) = -4x + -4(2x + -2) Reorder the terms: -5x + -2(-4 + x) = -4x + -4(2x + -2) -5x + (-4 * -2 + x * -2) = -4x + -4(2x + -2) -5x + (8 + -2x) = -4x + -4(2x + -2) Reorder the terms: 8 + -5x + -2x = -4x + -4(2x + -2) Combine like terms: -5x + -2x = -7x 8 + -7x = -4x + -4(2x + -2) Reorder the terms: 8 + -7x = -4x + -4(-2 + 2x) 8 + -7x = -4x + (-2 * -4 + 2x * -4) 8 + -7x = -4x + (8 + -8x) Reorder the terms: 8 + -7x = 8 + -4x + -8x Combine like terms: -4x + -8x = -12x 8 + -7x = 8 + -12x Add '-8' to each side of the equation. 8 + -8 + -7x = 8 + -8 + -12x Combine like terms: 8 + -8 = 0 0 + -7x = 8 + -8 + -12x -7x = 8 + -8 + -12x Combine like terms: 8 + -8 = 0 -7x = 0 + -12x -7x = -12x Solving -7x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -7x + 12x = -12x + 12x Combine like terms: -7x + 12x = 5x 5x = -12x + 12x Combine like terms: -12x + 12x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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