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Simplifying 2(x + 2) + 2(2x + -5) = 54 Reorder the terms: 2(2 + x) + 2(2x + -5) = 54 (2 * 2 + x * 2) + 2(2x + -5) = 54 (4 + 2x) + 2(2x + -5) = 54 Reorder the terms: 4 + 2x + 2(-5 + 2x) = 54 4 + 2x + (-5 * 2 + 2x * 2) = 54 4 + 2x + (-10 + 4x) = 54 Reorder the terms: 4 + -10 + 2x + 4x = 54 Combine like terms: 4 + -10 = -6 -6 + 2x + 4x = 54 Combine like terms: 2x + 4x = 6x -6 + 6x = 54 Solving -6 + 6x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 54 + 6 6x = 54 + 6 Combine like terms: 54 + 6 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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