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Simplifying 10 + 5x + -6 + 5x = 7x + 1 Reorder the terms: 10 + -6 + 5x + 5x = 7x + 1 Combine like terms: 10 + -6 = 4 4 + 5x + 5x = 7x + 1 Combine like terms: 5x + 5x = 10x 4 + 10x = 7x + 1 Reorder the terms: 4 + 10x = 1 + 7x Solving 4 + 10x = 1 + 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. 4 + 10x + -7x = 1 + 7x + -7x Combine like terms: 10x + -7x = 3x 4 + 3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 3x = 1 + 0 4 + 3x = 1 Add '-4' to each side of the equation. 4 + -4 + 3x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 1 + -4 3x = 1 + -4 Combine like terms: 1 + -4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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