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Simplifying 7x + 9 + -3(x + 1) = 9x + 8 Reorder the terms: 7x + 9 + -3(1 + x) = 9x + 8 7x + 9 + (1 * -3 + x * -3) = 9x + 8 7x + 9 + (-3 + -3x) = 9x + 8 Reorder the terms: 9 + -3 + 7x + -3x = 9x + 8 Combine like terms: 9 + -3 = 6 6 + 7x + -3x = 9x + 8 Combine like terms: 7x + -3x = 4x 6 + 4x = 9x + 8 Reorder the terms: 6 + 4x = 8 + 9x Solving 6 + 4x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 4x + -9x = 8 + 9x + -9x Combine like terms: 4x + -9x = -5x 6 + -5x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -5x = 8 + 0 6 + -5x = 8 Add '-6' to each side of the equation. 6 + -6 + -5x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 8 + -6 -5x = 8 + -6 Combine like terms: 8 + -6 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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