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Simplifying 6x + 8 + 5x + 7 = 7x + 1 Reorder the terms: 8 + 7 + 6x + 5x = 7x + 1 Combine like terms: 8 + 7 = 15 15 + 6x + 5x = 7x + 1 Combine like terms: 6x + 5x = 11x 15 + 11x = 7x + 1 Reorder the terms: 15 + 11x = 1 + 7x Solving 15 + 11x = 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. 15 + 11x + -7x = 1 + 7x + -7x Combine like terms: 11x + -7x = 4x 15 + 4x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 4x = 1 + 0 15 + 4x = 1 Add '-15' to each side of the equation. 15 + -15 + 4x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 1 + -15 4x = 1 + -15 Combine like terms: 1 + -15 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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