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Simplifying 2x + 9 = 5(x + 1) Reorder the terms: 9 + 2x = 5(x + 1) Reorder the terms: 9 + 2x = 5(1 + x) 9 + 2x = (1 * 5 + x * 5) 9 + 2x = (5 + 5x) Solving 9 + 2x = 5 + 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. 9 + 2x + -5x = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x 9 + -3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -3x = 5 + 0 9 + -3x = 5 Add '-9' to each side of the equation. 9 + -9 + -3x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 5 + -9 -3x = 5 + -9 Combine like terms: 5 + -9 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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