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Simplifying 2x + 6(-2x + 17) = 162 Reorder the terms: 2x + 6(17 + -2x) = 162 2x + (17 * 6 + -2x * 6) = 162 2x + (102 + -12x) = 162 Reorder the terms: 102 + 2x + -12x = 162 Combine like terms: 2x + -12x = -10x 102 + -10x = 162 Solving 102 + -10x = 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 + -10x = 162 + -102 Combine like terms: 102 + -102 = 0 0 + -10x = 162 + -102 -10x = 162 + -102 Combine like terms: 162 + -102 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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