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Simplifying 3x + -6(x + -17) = 66 Reorder the terms: 3x + -6(-17 + x) = 66 3x + (-17 * -6 + x * -6) = 66 3x + (102 + -6x) = 66 Reorder the terms: 102 + 3x + -6x = 66 Combine like terms: 3x + -6x = -3x 102 + -3x = 66 Solving 102 + -3x = 66 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 + -3x = 66 + -102 Combine like terms: 102 + -102 = 0 0 + -3x = 66 + -102 -3x = 66 + -102 Combine like terms: 66 + -102 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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