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Simplifying (2x + 9) + (5x + -4) = 6x + 9 Reorder the terms: (9 + 2x) + (5x + -4) = 6x + 9 Remove parenthesis around (9 + 2x) 9 + 2x + (5x + -4) = 6x + 9 Reorder the terms: 9 + 2x + (-4 + 5x) = 6x + 9 Remove parenthesis around (-4 + 5x) 9 + 2x + -4 + 5x = 6x + 9 Reorder the terms: 9 + -4 + 2x + 5x = 6x + 9 Combine like terms: 9 + -4 = 5 5 + 2x + 5x = 6x + 9 Combine like terms: 2x + 5x = 7x 5 + 7x = 6x + 9 Reorder the terms: 5 + 7x = 9 + 6x Solving 5 + 7x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 7x + -6x = 9 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = 9 + 0 5 + 1x = 9 Add '-5' to each side of the equation. 5 + -5 + 1x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 9 + -5 1x = 9 + -5 Combine like terms: 9 + -5 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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