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Simplifying (3x + -5) + -1(5x + 3) = 0 Reorder the terms: (-5 + 3x) + -1(5x + 3) = 0 Remove parenthesis around (-5 + 3x) -5 + 3x + -1(5x + 3) = 0 Reorder the terms: -5 + 3x + -1(3 + 5x) = 0 -5 + 3x + (3 * -1 + 5x * -1) = 0 -5 + 3x + (-3 + -5x) = 0 Reorder the terms: -5 + -3 + 3x + -5x = 0 Combine like terms: -5 + -3 = -8 -8 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x -8 + -2x = 0 Solving -8 + -2x = 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 + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 0 + 8 -2x = 0 + 8 Combine like terms: 0 + 8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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