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Simplifying -7(6 + -2x) = 4x + 28 (6 * -7 + -2x * -7) = 4x + 28 (-42 + 14x) = 4x + 28 Reorder the terms: -42 + 14x = 28 + 4x Solving -42 + 14x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 14x + -4x = 28 + 4x + -4x Combine like terms: 14x + -4x = 10x -42 + 10x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 10x = 28 + 0 -42 + 10x = 28 Add '42' to each side of the equation. -42 + 42 + 10x = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 28 + 42 10x = 28 + 42 Combine like terms: 28 + 42 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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