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Simplifying 4(5x + 10) + -2x = -52 Reorder the terms: 4(10 + 5x) + -2x = -52 (10 * 4 + 5x * 4) + -2x = -52 (40 + 20x) + -2x = -52 Combine like terms: 20x + -2x = 18x 40 + 18x = -52 Solving 40 + 18x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 18x = -52 + -40 Combine like terms: 40 + -40 = 0 0 + 18x = -52 + -40 18x = -52 + -40 Combine like terms: -52 + -40 = -92 18x = -92 Divide each side by '18'. x = -5.111111111 Simplifying x = -5.111111111
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