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