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Simplifying 5(2x + -2) + 2(4x + -5) = 52 Reorder the terms: 5(-2 + 2x) + 2(4x + -5) = 52 (-2 * 5 + 2x * 5) + 2(4x + -5) = 52 (-10 + 10x) + 2(4x + -5) = 52 Reorder the terms: -10 + 10x + 2(-5 + 4x) = 52 -10 + 10x + (-5 * 2 + 4x * 2) = 52 -10 + 10x + (-10 + 8x) = 52 Reorder the terms: -10 + -10 + 10x + 8x = 52 Combine like terms: -10 + -10 = -20 -20 + 10x + 8x = 52 Combine like terms: 10x + 8x = 18x -20 + 18x = 52 Solving -20 + 18x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 18x = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 52 + 20 18x = 52 + 20 Combine like terms: 52 + 20 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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