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Simplifying 166 = 5x + 6(3x + -3) Reorder the terms: 166 = 5x + 6(-3 + 3x) 166 = 5x + (-3 * 6 + 3x * 6) 166 = 5x + (-18 + 18x) Reorder the terms: 166 = -18 + 5x + 18x Combine like terms: 5x + 18x = 23x 166 = -18 + 23x Solving 166 = -18 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 166 + -23x = -18 + 23x + -23x Combine like terms: 23x + -23x = 0 166 + -23x = -18 + 0 166 + -23x = -18 Add '-166' to each side of the equation. 166 + -166 + -23x = -18 + -166 Combine like terms: 166 + -166 = 0 0 + -23x = -18 + -166 -23x = -18 + -166 Combine like terms: -18 + -166 = -184 -23x = -184 Divide each side by '-23'. x = 8 Simplifying x = 8
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