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Simplifying (3x + 4) + -1(4x + -2) = 0 Reorder the terms: (4 + 3x) + -1(4x + -2) = 0 Remove parenthesis around (4 + 3x) 4 + 3x + -1(4x + -2) = 0 Reorder the terms: 4 + 3x + -1(-2 + 4x) = 0 4 + 3x + (-2 * -1 + 4x * -1) = 0 4 + 3x + (2 + -4x) = 0 Reorder the terms: 4 + 2 + 3x + -4x = 0 Combine like terms: 4 + 2 = 6 6 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 6 + -1x = 0 Solving 6 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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