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Simplifying 4(x + -5) + -6 = -4(-5x + 8) + -7x Reorder the terms: 4(-5 + x) + -6 = -4(-5x + 8) + -7x (-5 * 4 + x * 4) + -6 = -4(-5x + 8) + -7x (-20 + 4x) + -6 = -4(-5x + 8) + -7x Reorder the terms: -20 + -6 + 4x = -4(-5x + 8) + -7x Combine like terms: -20 + -6 = -26 -26 + 4x = -4(-5x + 8) + -7x Reorder the terms: -26 + 4x = -4(8 + -5x) + -7x -26 + 4x = (8 * -4 + -5x * -4) + -7x -26 + 4x = (-32 + 20x) + -7x Combine like terms: 20x + -7x = 13x -26 + 4x = -32 + 13x Solving -26 + 4x = -32 + 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. -26 + 4x + -13x = -32 + 13x + -13x Combine like terms: 4x + -13x = -9x -26 + -9x = -32 + 13x + -13x Combine like terms: 13x + -13x = 0 -26 + -9x = -32 + 0 -26 + -9x = -32 Add '26' to each side of the equation. -26 + 26 + -9x = -32 + 26 Combine like terms: -26 + 26 = 0 0 + -9x = -32 + 26 -9x = -32 + 26 Combine like terms: -32 + 26 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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