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Simplifying 45x + 19 = 24x + 14 Reorder the terms: 19 + 45x = 24x + 14 Reorder the terms: 19 + 45x = 14 + 24x Solving 19 + 45x = 14 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 19 + 45x + -24x = 14 + 24x + -24x Combine like terms: 45x + -24x = 21x 19 + 21x = 14 + 24x + -24x Combine like terms: 24x + -24x = 0 19 + 21x = 14 + 0 19 + 21x = 14 Add '-19' to each side of the equation. 19 + -19 + 21x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 21x = 14 + -19 21x = 14 + -19 Combine like terms: 14 + -19 = -5 21x = -5 Divide each side by '21'. x = -0.2380952381 Simplifying x = -0.2380952381
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