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Simplifying -4(x + -5) + -6 = 2(7 + 6x) Reorder the terms: -4(-5 + x) + -6 = 2(7 + 6x) (-5 * -4 + x * -4) + -6 = 2(7 + 6x) (20 + -4x) + -6 = 2(7 + 6x) Reorder the terms: 20 + -6 + -4x = 2(7 + 6x) Combine like terms: 20 + -6 = 14 14 + -4x = 2(7 + 6x) 14 + -4x = (7 * 2 + 6x * 2) 14 + -4x = (14 + 12x) Add '-14' to each side of the equation. 14 + -14 + -4x = 14 + -14 + 12x Combine like terms: 14 + -14 = 0 0 + -4x = 14 + -14 + 12x -4x = 14 + -14 + 12x Combine like terms: 14 + -14 = 0 -4x = 0 + 12x -4x = 12x Solving -4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4x + -12x = 12x + -12x Combine like terms: -4x + -12x = -16x -16x = 12x + -12x Combine like terms: 12x + -12x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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