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Simplifying 5x + 7(-4x + -6) = 165 Reorder the terms: 5x + 7(-6 + -4x) = 165 5x + (-6 * 7 + -4x * 7) = 165 5x + (-42 + -28x) = 165 Reorder the terms: -42 + 5x + -28x = 165 Combine like terms: 5x + -28x = -23x -42 + -23x = 165 Solving -42 + -23x = 165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -23x = 165 + 42 Combine like terms: -42 + 42 = 0 0 + -23x = 165 + 42 -23x = 165 + 42 Combine like terms: 165 + 42 = 207 -23x = 207 Divide each side by '-23'. x = -9 Simplifying x = -9
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