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Simplifying 5x + -6(-2x + 13) = 92 Reorder the terms: 5x + -6(13 + -2x) = 92 5x + (13 * -6 + -2x * -6) = 92 5x + (-78 + 12x) = 92 Reorder the terms: -78 + 5x + 12x = 92 Combine like terms: 5x + 12x = 17x -78 + 17x = 92 Solving -78 + 17x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 17x = 92 + 78 Combine like terms: -78 + 78 = 0 0 + 17x = 92 + 78 17x = 92 + 78 Combine like terms: 92 + 78 = 170 17x = 170 Divide each side by '17'. x = 10 Simplifying x = 10
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