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Simplifying -6(5x + 7) = -7x + 27 Reorder the terms: -6(7 + 5x) = -7x + 27 (7 * -6 + 5x * -6) = -7x + 27 (-42 + -30x) = -7x + 27 Reorder the terms: -42 + -30x = 27 + -7x Solving -42 + -30x = 27 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + -30x + 7x = 27 + -7x + 7x Combine like terms: -30x + 7x = -23x -42 + -23x = 27 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + -23x = 27 + 0 -42 + -23x = 27 Add '42' to each side of the equation. -42 + 42 + -23x = 27 + 42 Combine like terms: -42 + 42 = 0 0 + -23x = 27 + 42 -23x = 27 + 42 Combine like terms: 27 + 42 = 69 -23x = 69 Divide each side by '-23'. x = -3 Simplifying x = -3
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