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Simplifying 74 + -5x = 13x + 24 Reorder the terms: 74 + -5x = 24 + 13x Solving 74 + -5x = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 74 + -5x + -13x = 24 + 13x + -13x Combine like terms: -5x + -13x = -18x 74 + -18x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 74 + -18x = 24 + 0 74 + -18x = 24 Add '-74' to each side of the equation. 74 + -74 + -18x = 24 + -74 Combine like terms: 74 + -74 = 0 0 + -18x = 24 + -74 -18x = 24 + -74 Combine like terms: 24 + -74 = -50 -18x = -50 Divide each side by '-18'. x = 2.777777778 Simplifying x = 2.777777778
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