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