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Simplifying 9(4 + -5x) + 2 = 7(6x + -7) (4 * 9 + -5x * 9) + 2 = 7(6x + -7) (36 + -45x) + 2 = 7(6x + -7) Reorder the terms: 36 + 2 + -45x = 7(6x + -7) Combine like terms: 36 + 2 = 38 38 + -45x = 7(6x + -7) Reorder the terms: 38 + -45x = 7(-7 + 6x) 38 + -45x = (-7 * 7 + 6x * 7) 38 + -45x = (-49 + 42x) Solving 38 + -45x = -49 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 38 + -45x + -42x = -49 + 42x + -42x Combine like terms: -45x + -42x = -87x 38 + -87x = -49 + 42x + -42x Combine like terms: 42x + -42x = 0 38 + -87x = -49 + 0 38 + -87x = -49 Add '-38' to each side of the equation. 38 + -38 + -87x = -49 + -38 Combine like terms: 38 + -38 = 0 0 + -87x = -49 + -38 -87x = -49 + -38 Combine like terms: -49 + -38 = -87 -87x = -87 Divide each side by '-87'. x = 1 Simplifying x = 1
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