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