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Simplifying -6x + 28 = -2 + -7(6 + 6x) Reorder the terms: 28 + -6x = -2 + -7(6 + 6x) 28 + -6x = -2 + (6 * -7 + 6x * -7) 28 + -6x = -2 + (-42 + -42x) Combine like terms: -2 + -42 = -44 28 + -6x = -44 + -42x Solving 28 + -6x = -44 + -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. 28 + -6x + 42x = -44 + -42x + 42x Combine like terms: -6x + 42x = 36x 28 + 36x = -44 + -42x + 42x Combine like terms: -42x + 42x = 0 28 + 36x = -44 + 0 28 + 36x = -44 Add '-28' to each side of the equation. 28 + -28 + 36x = -44 + -28 Combine like terms: 28 + -28 = 0 0 + 36x = -44 + -28 36x = -44 + -28 Combine like terms: -44 + -28 = -72 36x = -72 Divide each side by '36'. x = -2 Simplifying x = -2
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