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Simplifying 7x + 2 + -5(x + 1) = 9x + 2 Reorder the terms: 7x + 2 + -5(1 + x) = 9x + 2 7x + 2 + (1 * -5 + x * -5) = 9x + 2 7x + 2 + (-5 + -5x) = 9x + 2 Reorder the terms: 2 + -5 + 7x + -5x = 9x + 2 Combine like terms: 2 + -5 = -3 -3 + 7x + -5x = 9x + 2 Combine like terms: 7x + -5x = 2x -3 + 2x = 9x + 2 Reorder the terms: -3 + 2x = 2 + 9x Solving -3 + 2x = 2 + 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. -3 + 2x + -9x = 2 + 9x + -9x Combine like terms: 2x + -9x = -7x -3 + -7x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -7x = 2 + 0 -3 + -7x = 2 Add '3' to each side of the equation. -3 + 3 + -7x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 2 + 3 -7x = 2 + 3 Combine like terms: 2 + 3 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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