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Simplifying 5x + -4(x + 5) + -6 = -1(2x + -7) Reorder the terms: 5x + -4(5 + x) + -6 = -1(2x + -7) 5x + (5 * -4 + x * -4) + -6 = -1(2x + -7) 5x + (-20 + -4x) + -6 = -1(2x + -7) Reorder the terms: -20 + -6 + 5x + -4x = -1(2x + -7) Combine like terms: -20 + -6 = -26 -26 + 5x + -4x = -1(2x + -7) Combine like terms: 5x + -4x = 1x -26 + 1x = -1(2x + -7) Reorder the terms: -26 + 1x = -1(-7 + 2x) -26 + 1x = (-7 * -1 + 2x * -1) -26 + 1x = (7 + -2x) Solving -26 + 1x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -26 + 1x + 2x = 7 + -2x + 2x Combine like terms: 1x + 2x = 3x -26 + 3x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + 3x = 7 + 0 -26 + 3x = 7 Add '26' to each side of the equation. -26 + 26 + 3x = 7 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = 7 + 26 3x = 7 + 26 Combine like terms: 7 + 26 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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