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Simplifying 7x + 6 + -5(x + 1) = 8x + 6 Reorder the terms: 7x + 6 + -5(1 + x) = 8x + 6 7x + 6 + (1 * -5 + x * -5) = 8x + 6 7x + 6 + (-5 + -5x) = 8x + 6 Reorder the terms: 6 + -5 + 7x + -5x = 8x + 6 Combine like terms: 6 + -5 = 1 1 + 7x + -5x = 8x + 6 Combine like terms: 7x + -5x = 2x 1 + 2x = 8x + 6 Reorder the terms: 1 + 2x = 6 + 8x Solving 1 + 2x = 6 + 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. 1 + 2x + -8x = 6 + 8x + -8x Combine like terms: 2x + -8x = -6x 1 + -6x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -6x = 6 + 0 1 + -6x = 6 Add '-1' to each side of the equation. 1 + -1 + -6x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 6 + -1 -6x = 6 + -1 Combine like terms: 6 + -1 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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