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Simplifying -44 + 3x + -10 = 8 + -7x + -2 Reorder the terms: -44 + -10 + 3x = 8 + -7x + -2 Combine like terms: -44 + -10 = -54 -54 + 3x = 8 + -7x + -2 Reorder the terms: -54 + 3x = 8 + -2 + -7x Combine like terms: 8 + -2 = 6 -54 + 3x = 6 + -7x Solving -54 + 3x = 6 + -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. -54 + 3x + 7x = 6 + -7x + 7x Combine like terms: 3x + 7x = 10x -54 + 10x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -54 + 10x = 6 + 0 -54 + 10x = 6 Add '54' to each side of the equation. -54 + 54 + 10x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 10x = 6 + 54 10x = 6 + 54 Combine like terms: 6 + 54 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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