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Simplifying 10x + -7 = 2x + -5 + 6x Reorder the terms: -7 + 10x = 2x + -5 + 6x Reorder the terms: -7 + 10x = -5 + 2x + 6x Combine like terms: 2x + 6x = 8x -7 + 10x = -5 + 8x Solving -7 + 10x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 10x + -8x = -5 + 8x + -8x Combine like terms: 10x + -8x = 2x -7 + 2x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 2x = -5 + 0 -7 + 2x = -5 Add '7' to each side of the equation. -7 + 7 + 2x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -5 + 7 2x = -5 + 7 Combine like terms: -5 + 7 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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