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Simplifying 172 = -6x + 4(-6x + -17) Reorder the terms: 172 = -6x + 4(-17 + -6x) 172 = -6x + (-17 * 4 + -6x * 4) 172 = -6x + (-68 + -24x) Reorder the terms: 172 = -68 + -6x + -24x Combine like terms: -6x + -24x = -30x 172 = -68 + -30x Solving 172 = -68 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 172 + 30x = -68 + -30x + 30x Combine like terms: -30x + 30x = 0 172 + 30x = -68 + 0 172 + 30x = -68 Add '-172' to each side of the equation. 172 + -172 + 30x = -68 + -172 Combine like terms: 172 + -172 = 0 0 + 30x = -68 + -172 30x = -68 + -172 Combine like terms: -68 + -172 = -240 30x = -240 Divide each side by '30'. x = -8 Simplifying x = -8
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