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Simplifying (3x + -1) + -1(x + -4) = 9 Reorder the terms: (-1 + 3x) + -1(x + -4) = 9 Remove parenthesis around (-1 + 3x) -1 + 3x + -1(x + -4) = 9 Reorder the terms: -1 + 3x + -1(-4 + x) = 9 -1 + 3x + (-4 * -1 + x * -1) = 9 -1 + 3x + (4 + -1x) = 9 Reorder the terms: -1 + 4 + 3x + -1x = 9 Combine like terms: -1 + 4 = 3 3 + 3x + -1x = 9 Combine like terms: 3x + -1x = 2x 3 + 2x = 9 Solving 3 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 9 + -3 2x = 9 + -3 Combine like terms: 9 + -3 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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