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Simplifying -5x + -10 = 2x + -52 Reorder the terms: -10 + -5x = 2x + -52 Reorder the terms: -10 + -5x = -52 + 2x Solving -10 + -5x = -52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -5x + -2x = -52 + 2x + -2x Combine like terms: -5x + -2x = -7x -10 + -7x = -52 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -7x = -52 + 0 -10 + -7x = -52 Add '10' to each side of the equation. -10 + 10 + -7x = -52 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -52 + 10 -7x = -52 + 10 Combine like terms: -52 + 10 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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