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