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Simplifying 5x + 6(4x + -17) = 130 Reorder the terms: 5x + 6(-17 + 4x) = 130 5x + (-17 * 6 + 4x * 6) = 130 5x + (-102 + 24x) = 130 Reorder the terms: -102 + 5x + 24x = 130 Combine like terms: 5x + 24x = 29x -102 + 29x = 130 Solving -102 + 29x = 130 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 + 29x = 130 + 102 Combine like terms: -102 + 102 = 0 0 + 29x = 130 + 102 29x = 130 + 102 Combine like terms: 130 + 102 = 232 29x = 232 Divide each side by '29'. x = 8 Simplifying x = 8
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