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Simplifying 7x + 6 + -9(x + 1) = 5x + 3 Reorder the terms: 7x + 6 + -9(1 + x) = 5x + 3 7x + 6 + (1 * -9 + x * -9) = 5x + 3 7x + 6 + (-9 + -9x) = 5x + 3 Reorder the terms: 6 + -9 + 7x + -9x = 5x + 3 Combine like terms: 6 + -9 = -3 -3 + 7x + -9x = 5x + 3 Combine like terms: 7x + -9x = -2x -3 + -2x = 5x + 3 Reorder the terms: -3 + -2x = 3 + 5x Solving -3 + -2x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + -2x + -5x = 3 + 5x + -5x Combine like terms: -2x + -5x = -7x -3 + -7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -7x = 3 + 0 -3 + -7x = 3 Add '3' to each side of the equation. -3 + 3 + -7x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 3 + 3 -7x = 3 + 3 Combine like terms: 3 + 3 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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