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Simplifying (3x + -2) + -1(x + 4) = 34 Reorder the terms: (-2 + 3x) + -1(x + 4) = 34 Remove parenthesis around (-2 + 3x) -2 + 3x + -1(x + 4) = 34 Reorder the terms: -2 + 3x + -1(4 + x) = 34 -2 + 3x + (4 * -1 + x * -1) = 34 -2 + 3x + (-4 + -1x) = 34 Reorder the terms: -2 + -4 + 3x + -1x = 34 Combine like terms: -2 + -4 = -6 -6 + 3x + -1x = 34 Combine like terms: 3x + -1x = 2x -6 + 2x = 34 Solving -6 + 2x = 34 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 + 2x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 34 + 6 2x = 34 + 6 Combine like terms: 34 + 6 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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