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Simplifying 7x + 1(8x + 7) = 6x + 1 Reorder the terms: 7x + 1(7 + 8x) = 6x + 1 7x + (7 * 1 + 8x * 1) = 6x + 1 7x + (7 + 8x) = 6x + 1 Reorder the terms: 7 + 7x + 8x = 6x + 1 Combine like terms: 7x + 8x = 15x 7 + 15x = 6x + 1 Reorder the terms: 7 + 15x = 1 + 6x Solving 7 + 15x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 15x + -6x = 1 + 6x + -6x Combine like terms: 15x + -6x = 9x 7 + 9x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 9x = 1 + 0 7 + 9x = 1 Add '-7' to each side of the equation. 7 + -7 + 9x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 1 + -7 9x = 1 + -7 Combine like terms: 1 + -7 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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