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Simplifying 172 = -5x + -6(-6x + 23) Reorder the terms: 172 = -5x + -6(23 + -6x) 172 = -5x + (23 * -6 + -6x * -6) 172 = -5x + (-138 + 36x) Reorder the terms: 172 = -138 + -5x + 36x Combine like terms: -5x + 36x = 31x 172 = -138 + 31x Solving 172 = -138 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 172 + -31x = -138 + 31x + -31x Combine like terms: 31x + -31x = 0 172 + -31x = -138 + 0 172 + -31x = -138 Add '-172' to each side of the equation. 172 + -172 + -31x = -138 + -172 Combine like terms: 172 + -172 = 0 0 + -31x = -138 + -172 -31x = -138 + -172 Combine like terms: -138 + -172 = -310 -31x = -310 Divide each side by '-31'. x = 10 Simplifying x = 10
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