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Simplifying 9x + 9 + -7(x + 1) = 7x + 6 Reorder the terms: 9x + 9 + -7(1 + x) = 7x + 6 9x + 9 + (1 * -7 + x * -7) = 7x + 6 9x + 9 + (-7 + -7x) = 7x + 6 Reorder the terms: 9 + -7 + 9x + -7x = 7x + 6 Combine like terms: 9 + -7 = 2 2 + 9x + -7x = 7x + 6 Combine like terms: 9x + -7x = 2x 2 + 2x = 7x + 6 Reorder the terms: 2 + 2x = 6 + 7x Solving 2 + 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. 2 + 2x + -7x = 6 + 7x + -7x Combine like terms: 2x + -7x = -5x 2 + -5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x = 6 + 0 2 + -5x = 6 Add '-2' to each side of the equation. 2 + -2 + -5x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 6 + -2 -5x = 6 + -2 Combine like terms: 6 + -2 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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