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Simplifying 2x + 9 + -5(x + 1) = 3x + 9 Reorder the terms: 2x + 9 + -5(1 + x) = 3x + 9 2x + 9 + (1 * -5 + x * -5) = 3x + 9 2x + 9 + (-5 + -5x) = 3x + 9 Reorder the terms: 9 + -5 + 2x + -5x = 3x + 9 Combine like terms: 9 + -5 = 4 4 + 2x + -5x = 3x + 9 Combine like terms: 2x + -5x = -3x 4 + -3x = 3x + 9 Reorder the terms: 4 + -3x = 9 + 3x Solving 4 + -3x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -3x + -3x = 9 + 3x + -3x Combine like terms: -3x + -3x = -6x 4 + -6x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -6x = 9 + 0 4 + -6x = 9 Add '-4' to each side of the equation. 4 + -4 + -6x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 9 + -4 -6x = 9 + -4 Combine like terms: 9 + -4 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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