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Simplifying (3x + -2) + -1(5x + -4) = 0 Reorder the terms: (-2 + 3x) + -1(5x + -4) = 0 Remove parenthesis around (-2 + 3x) -2 + 3x + -1(5x + -4) = 0 Reorder the terms: -2 + 3x + -1(-4 + 5x) = 0 -2 + 3x + (-4 * -1 + 5x * -1) = 0 -2 + 3x + (4 + -5x) = 0 Reorder the terms: -2 + 4 + 3x + -5x = 0 Combine like terms: -2 + 4 = 2 2 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 2 + -2x = 0 Solving 2 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 0 + -2 -2x = 0 + -2 Combine like terms: 0 + -2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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