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Simplifying -7(x + 6) = -9x + -28 Reorder the terms: -7(6 + x) = -9x + -28 (6 * -7 + x * -7) = -9x + -28 (-42 + -7x) = -9x + -28 Reorder the terms: -42 + -7x = -28 + -9x Solving -42 + -7x = -28 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + -7x + 9x = -28 + -9x + 9x Combine like terms: -7x + 9x = 2x -42 + 2x = -28 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 2x = -28 + 0 -42 + 2x = -28 Add '42' to each side of the equation. -42 + 42 + 2x = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -28 + 42 2x = -28 + 42 Combine like terms: -28 + 42 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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