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Simplifying 3x + -6(-5x + 17) = 162 Reorder the terms: 3x + -6(17 + -5x) = 162 3x + (17 * -6 + -5x * -6) = 162 3x + (-102 + 30x) = 162 Reorder the terms: -102 + 3x + 30x = 162 Combine like terms: 3x + 30x = 33x -102 + 33x = 162 Solving -102 + 33x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 33x = 162 + 102 Combine like terms: -102 + 102 = 0 0 + 33x = 162 + 102 33x = 162 + 102 Combine like terms: 162 + 102 = 264 33x = 264 Divide each side by '33'. x = 8 Simplifying x = 8
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