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