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Simplifying 5x + 8 + -7(x + 1) = 7x + 6 Reorder the terms: 5x + 8 + -7(1 + x) = 7x + 6 5x + 8 + (1 * -7 + x * -7) = 7x + 6 5x + 8 + (-7 + -7x) = 7x + 6 Reorder the terms: 8 + -7 + 5x + -7x = 7x + 6 Combine like terms: 8 + -7 = 1 1 + 5x + -7x = 7x + 6 Combine like terms: 5x + -7x = -2x 1 + -2x = 7x + 6 Reorder the terms: 1 + -2x = 6 + 7x Solving 1 + -2x = 6 + 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. 1 + -2x + -7x = 6 + 7x + -7x Combine like terms: -2x + -7x = -9x 1 + -9x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -9x = 6 + 0 1 + -9x = 6 Add '-1' to each side of the equation. 1 + -1 + -9x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 6 + -1 -9x = 6 + -1 Combine like terms: 6 + -1 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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