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Simplifying -52 = 5x + -4(-1x + -5) Reorder the terms: -52 = 5x + -4(-5 + -1x) -52 = 5x + (-5 * -4 + -1x * -4) -52 = 5x + (20 + 4x) Reorder the terms: -52 = 20 + 5x + 4x Combine like terms: 5x + 4x = 9x -52 = 20 + 9x Solving -52 = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -52 + -9x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -52 + -9x = 20 + 0 -52 + -9x = 20 Add '52' to each side of the equation. -52 + 52 + -9x = 20 + 52 Combine like terms: -52 + 52 = 0 0 + -9x = 20 + 52 -9x = 20 + 52 Combine like terms: 20 + 52 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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