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Simplifying 2x + 117 = 5(4x + 9) Reorder the terms: 117 + 2x = 5(4x + 9) Reorder the terms: 117 + 2x = 5(9 + 4x) 117 + 2x = (9 * 5 + 4x * 5) 117 + 2x = (45 + 20x) Solving 117 + 2x = 45 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 117 + 2x + -20x = 45 + 20x + -20x Combine like terms: 2x + -20x = -18x 117 + -18x = 45 + 20x + -20x Combine like terms: 20x + -20x = 0 117 + -18x = 45 + 0 117 + -18x = 45 Add '-117' to each side of the equation. 117 + -117 + -18x = 45 + -117 Combine like terms: 117 + -117 = 0 0 + -18x = 45 + -117 -18x = 45 + -117 Combine like terms: 45 + -117 = -72 -18x = -72 Divide each side by '-18'. x = 4 Simplifying x = 4
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