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Simplifying -6x + x + 10 = 15 + -7x + -5 Reorder the terms: 10 + -6x + x = 15 + -7x + -5 Combine like terms: -6x + x = -5x 10 + -5x = 15 + -7x + -5 Reorder the terms: 10 + -5x = 15 + -5 + -7x Combine like terms: 15 + -5 = 10 10 + -5x = 10 + -7x Add '-10' to each side of the equation. 10 + -10 + -5x = 10 + -10 + -7x Combine like terms: 10 + -10 = 0 0 + -5x = 10 + -10 + -7x -5x = 10 + -10 + -7x Combine like terms: 10 + -10 = 0 -5x = 0 + -7x -5x = -7x Solving -5x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5x + 7x = -7x + 7x Combine like terms: -5x + 7x = 2x 2x = -7x + 7x Combine like terms: -7x + 7x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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