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Simplifying 5(x + -2) = 2 + 2x + x + 4 Reorder the terms: 5(-2 + x) = 2 + 2x + x + 4 (-2 * 5 + x * 5) = 2 + 2x + x + 4 (-10 + 5x) = 2 + 2x + x + 4 Reorder the terms: -10 + 5x = 2 + 4 + 2x + x Combine like terms: 2 + 4 = 6 -10 + 5x = 6 + 2x + x Combine like terms: 2x + x = 3x -10 + 5x = 6 + 3x Solving -10 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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