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Simplifying 4x + 3(x + -2) + -1(5 + -4x) = 0 Reorder the terms: 4x + 3(-2 + x) + -1(5 + -4x) = 0 4x + (-2 * 3 + x * 3) + -1(5 + -4x) = 0 4x + (-6 + 3x) + -1(5 + -4x) = 0 4x + -6 + 3x + (5 * -1 + -4x * -1) = 0 4x + -6 + 3x + (-5 + 4x) = 0 Reorder the terms: -6 + -5 + 4x + 3x + 4x = 0 Combine like terms: -6 + -5 = -11 -11 + 4x + 3x + 4x = 0 Combine like terms: 4x + 3x = 7x -11 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x -11 + 11x = 0 Solving -11 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = 0 + 11 11x = 0 + 11 Combine like terms: 0 + 11 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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