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Simplifying 3x + -1(4x + 5) = 5(7x + -3) Reorder the terms: 3x + -1(5 + 4x) = 5(7x + -3) 3x + (5 * -1 + 4x * -1) = 5(7x + -3) 3x + (-5 + -4x) = 5(7x + -3) Reorder the terms: -5 + 3x + -4x = 5(7x + -3) Combine like terms: 3x + -4x = -1x -5 + -1x = 5(7x + -3) Reorder the terms: -5 + -1x = 5(-3 + 7x) -5 + -1x = (-3 * 5 + 7x * 5) -5 + -1x = (-15 + 35x) Solving -5 + -1x = -15 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -5 + -1x + -35x = -15 + 35x + -35x Combine like terms: -1x + -35x = -36x -5 + -36x = -15 + 35x + -35x Combine like terms: 35x + -35x = 0 -5 + -36x = -15 + 0 -5 + -36x = -15 Add '5' to each side of the equation. -5 + 5 + -36x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -36x = -15 + 5 -36x = -15 + 5 Combine like terms: -15 + 5 = -10 -36x = -10 Divide each side by '-36'. x = 0.2777777778 Simplifying x = 0.2777777778
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