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Simplifying 7x + 9 + -5(x + 1) = 5x + 6 Reorder the terms: 7x + 9 + -5(1 + x) = 5x + 6 7x + 9 + (1 * -5 + x * -5) = 5x + 6 7x + 9 + (-5 + -5x) = 5x + 6 Reorder the terms: 9 + -5 + 7x + -5x = 5x + 6 Combine like terms: 9 + -5 = 4 4 + 7x + -5x = 5x + 6 Combine like terms: 7x + -5x = 2x 4 + 2x = 5x + 6 Reorder the terms: 4 + 2x = 6 + 5x Solving 4 + 2x = 6 + 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. 4 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = 6 + 0 4 + -3x = 6 Add '-4' to each side of the equation. 4 + -4 + -3x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 6 + -4 -3x = 6 + -4 Combine like terms: 6 + -4 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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