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Simplifying -2 + 3x = -6 + 7(6x + -5) Reorder the terms: -2 + 3x = -6 + 7(-5 + 6x) -2 + 3x = -6 + (-5 * 7 + 6x * 7) -2 + 3x = -6 + (-35 + 42x) Combine like terms: -6 + -35 = -41 -2 + 3x = -41 + 42x Solving -2 + 3x = -41 + 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. -2 + 3x + -42x = -41 + 42x + -42x Combine like terms: 3x + -42x = -39x -2 + -39x = -41 + 42x + -42x Combine like terms: 42x + -42x = 0 -2 + -39x = -41 + 0 -2 + -39x = -41 Add '2' to each side of the equation. -2 + 2 + -39x = -41 + 2 Combine like terms: -2 + 2 = 0 0 + -39x = -41 + 2 -39x = -41 + 2 Combine like terms: -41 + 2 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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