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Simplifying 7(x + -3) + -1(5 + -4x) = 0 Reorder the terms: 7(-3 + x) + -1(5 + -4x) = 0 (-3 * 7 + x * 7) + -1(5 + -4x) = 0 (-21 + 7x) + -1(5 + -4x) = 0 -21 + 7x + (5 * -1 + -4x * -1) = 0 -21 + 7x + (-5 + 4x) = 0 Reorder the terms: -21 + -5 + 7x + 4x = 0 Combine like terms: -21 + -5 = -26 -26 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x -26 + 11x = 0 Solving -26 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 11x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 0 + 26 11x = 0 + 26 Combine like terms: 0 + 26 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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