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Simplifying 2x + 5x + 25 = 6x + -10x + -52 Reorder the terms: 25 + 2x + 5x = 6x + -10x + -52 Combine like terms: 2x + 5x = 7x 25 + 7x = 6x + -10x + -52 Reorder the terms: 25 + 7x = -52 + 6x + -10x Combine like terms: 6x + -10x = -4x 25 + 7x = -52 + -4x Solving 25 + 7x = -52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 25 + 7x + 4x = -52 + -4x + 4x Combine like terms: 7x + 4x = 11x 25 + 11x = -52 + -4x + 4x Combine like terms: -4x + 4x = 0 25 + 11x = -52 + 0 25 + 11x = -52 Add '-25' to each side of the equation. 25 + -25 + 11x = -52 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = -52 + -25 11x = -52 + -25 Combine like terms: -52 + -25 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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