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Simplifying x + 4x + -8 = 2(2x + -5) Reorder the terms: -8 + x + 4x = 2(2x + -5) Combine like terms: x + 4x = 5x -8 + 5x = 2(2x + -5) Reorder the terms: -8 + 5x = 2(-5 + 2x) -8 + 5x = (-5 * 2 + 2x * 2) -8 + 5x = (-10 + 4x) Solving -8 + 5x = -10 + 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. -8 + 5x + -4x = -10 + 4x + -4x Combine like terms: 5x + -4x = 1x -8 + 1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 1x = -10 + 0 -8 + 1x = -10 Add '8' to each side of the equation. -8 + 8 + 1x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -10 + 8 1x = -10 + 8 Combine like terms: -10 + 8 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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