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Simplifying -6x + 40 = -8 + -6(7x + -8) Reorder the terms: 40 + -6x = -8 + -6(7x + -8) Reorder the terms: 40 + -6x = -8 + -6(-8 + 7x) 40 + -6x = -8 + (-8 * -6 + 7x * -6) 40 + -6x = -8 + (48 + -42x) Combine like terms: -8 + 48 = 40 40 + -6x = 40 + -42x Add '-40' to each side of the equation. 40 + -40 + -6x = 40 + -40 + -42x Combine like terms: 40 + -40 = 0 0 + -6x = 40 + -40 + -42x -6x = 40 + -40 + -42x Combine like terms: 40 + -40 = 0 -6x = 0 + -42x -6x = -42x Solving -6x = -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. -6x + 42x = -42x + 42x Combine like terms: -6x + 42x = 36x 36x = -42x + 42x Combine like terms: -42x + 42x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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