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Simplifying (3x + 7) + (-4x + 1) = 0 Reorder the terms: (7 + 3x) + (-4x + 1) = 0 Remove parenthesis around (7 + 3x) 7 + 3x + (-4x + 1) = 0 Reorder the terms: 7 + 3x + (1 + -4x) = 0 Remove parenthesis around (1 + -4x) 7 + 3x + 1 + -4x = 0 Reorder the terms: 7 + 1 + 3x + -4x = 0 Combine like terms: 7 + 1 = 8 8 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 8 + -1x = 0 Solving 8 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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