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Simplifying 5x + -2(2x + 4) = 4x + (x + 2) Reorder the terms: 5x + -2(4 + 2x) = 4x + (x + 2) 5x + (4 * -2 + 2x * -2) = 4x + (x + 2) 5x + (-8 + -4x) = 4x + (x + 2) Reorder the terms: -8 + 5x + -4x = 4x + (x + 2) Combine like terms: 5x + -4x = 1x -8 + 1x = 4x + (x + 2) Reorder the terms: -8 + 1x = 4x + (2 + x) Remove parenthesis around (2 + x) -8 + 1x = 4x + 2 + x Reorder the terms: -8 + 1x = 2 + 4x + x Combine like terms: 4x + x = 5x -8 + 1x = 2 + 5x Solving -8 + 1x = 2 + 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. -8 + 1x + -5x = 2 + 5x + -5x Combine like terms: 1x + -5x = -4x -8 + -4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = 2 + 0 -8 + -4x = 2 Add '8' to each side of the equation. -8 + 8 + -4x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 2 + 8 -4x = 2 + 8 Combine like terms: 2 + 8 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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