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Simplifying 10x + -2x + 6 + x = 7x + 1 Reorder the terms: 6 + 10x + -2x + x = 7x + 1 Combine like terms: 10x + -2x = 8x 6 + 8x + x = 7x + 1 Combine like terms: 8x + x = 9x 6 + 9x = 7x + 1 Reorder the terms: 6 + 9x = 1 + 7x Solving 6 + 9x = 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. 6 + 9x + -7x = 1 + 7x + -7x Combine like terms: 9x + -7x = 2x 6 + 2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 2x = 1 + 0 6 + 2x = 1 Add '-6' to each side of the equation. 6 + -6 + 2x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 1 + -6 2x = 1 + -6 Combine like terms: 1 + -6 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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