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Simplifying 6x + -5(5x + 4) = 7 + -1(13x + -4) Reorder the terms: 6x + -5(4 + 5x) = 7 + -1(13x + -4) 6x + (4 * -5 + 5x * -5) = 7 + -1(13x + -4) 6x + (-20 + -25x) = 7 + -1(13x + -4) Reorder the terms: -20 + 6x + -25x = 7 + -1(13x + -4) Combine like terms: 6x + -25x = -19x -20 + -19x = 7 + -1(13x + -4) Reorder the terms: -20 + -19x = 7 + -1(-4 + 13x) -20 + -19x = 7 + (-4 * -1 + 13x * -1) -20 + -19x = 7 + (4 + -13x) Combine like terms: 7 + 4 = 11 -20 + -19x = 11 + -13x Solving -20 + -19x = 11 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -20 + -19x + 13x = 11 + -13x + 13x Combine like terms: -19x + 13x = -6x -20 + -6x = 11 + -13x + 13x Combine like terms: -13x + 13x = 0 -20 + -6x = 11 + 0 -20 + -6x = 11 Add '20' to each side of the equation. -20 + 20 + -6x = 11 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = 11 + 20 -6x = 11 + 20 Combine like terms: 11 + 20 = 31 -6x = 31 Divide each side by '-6'. x = -5.166666667 Simplifying x = -5.166666667
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