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Simplifying 5x + 6(-2x + -17) = -172 Reorder the terms: 5x + 6(-17 + -2x) = -172 5x + (-17 * 6 + -2x * 6) = -172 5x + (-102 + -12x) = -172 Reorder the terms: -102 + 5x + -12x = -172 Combine like terms: 5x + -12x = -7x -102 + -7x = -172 Solving -102 + -7x = -172 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 + -7x = -172 + 102 Combine like terms: -102 + 102 = 0 0 + -7x = -172 + 102 -7x = -172 + 102 Combine like terms: -172 + 102 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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