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Simplifying 9(2x + 13) = 4x + 5 Reorder the terms: 9(13 + 2x) = 4x + 5 (13 * 9 + 2x * 9) = 4x + 5 (117 + 18x) = 4x + 5 Reorder the terms: 117 + 18x = 5 + 4x Solving 117 + 18x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 117 + 18x + -4x = 5 + 4x + -4x Combine like terms: 18x + -4x = 14x 117 + 14x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 117 + 14x = 5 + 0 117 + 14x = 5 Add '-117' to each side of the equation. 117 + -117 + 14x = 5 + -117 Combine like terms: 117 + -117 = 0 0 + 14x = 5 + -117 14x = 5 + -117 Combine like terms: 5 + -117 = -112 14x = -112 Divide each side by '14'. x = -8 Simplifying x = -8
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