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Simplifying 6x + -1(-1x + 5) = (x + -4) + -5(9x + -5) Reorder the terms: 6x + -1(5 + -1x) = (x + -4) + -5(9x + -5) 6x + (5 * -1 + -1x * -1) = (x + -4) + -5(9x + -5) 6x + (-5 + 1x) = (x + -4) + -5(9x + -5) Reorder the terms: -5 + 6x + 1x = (x + -4) + -5(9x + -5) Combine like terms: 6x + 1x = 7x -5 + 7x = (x + -4) + -5(9x + -5) Reorder the terms: -5 + 7x = (-4 + x) + -5(9x + -5) Remove parenthesis around (-4 + x) -5 + 7x = -4 + x + -5(9x + -5) Reorder the terms: -5 + 7x = -4 + x + -5(-5 + 9x) -5 + 7x = -4 + x + (-5 * -5 + 9x * -5) -5 + 7x = -4 + x + (25 + -45x) Reorder the terms: -5 + 7x = -4 + 25 + x + -45x Combine like terms: -4 + 25 = 21 -5 + 7x = 21 + x + -45x Combine like terms: x + -45x = -44x -5 + 7x = 21 + -44x Solving -5 + 7x = 21 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. -5 + 7x + 44x = 21 + -44x + 44x Combine like terms: 7x + 44x = 51x -5 + 51x = 21 + -44x + 44x Combine like terms: -44x + 44x = 0 -5 + 51x = 21 + 0 -5 + 51x = 21 Add '5' to each side of the equation. -5 + 5 + 51x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 51x = 21 + 5 51x = 21 + 5 Combine like terms: 21 + 5 = 26 51x = 26 Divide each side by '51'. x = 0.5098039216 Simplifying x = 0.5098039216
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