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Simplifying -6(4x + -2) + 5 = -24 + 17 Reorder the terms: -6(-2 + 4x) + 5 = -24 + 17 (-2 * -6 + 4x * -6) + 5 = -24 + 17 (12 + -24x) + 5 = -24 + 17 Reorder the terms: 12 + 5 + -24x = -24 + 17 Combine like terms: 12 + 5 = 17 17 + -24x = -24 + 17 Combine like terms: -24 + 17 = -7 17 + -24x = -7 Solving 17 + -24x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -24x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -24x = -7 + -17 -24x = -7 + -17 Combine like terms: -7 + -17 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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