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Simplifying (3x + 4) + (-4x + 9) = 0 Reorder the terms: (4 + 3x) + (-4x + 9) = 0 Remove parenthesis around (4 + 3x) 4 + 3x + (-4x + 9) = 0 Reorder the terms: 4 + 3x + (9 + -4x) = 0 Remove parenthesis around (9 + -4x) 4 + 3x + 9 + -4x = 0 Reorder the terms: 4 + 9 + 3x + -4x = 0 Combine like terms: 4 + 9 = 13 13 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 13 + -1x = 0 Solving 13 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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