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Simplifying x + 23x + 45 = 43(x + 25) Reorder the terms: 45 + x + 23x = 43(x + 25) Combine like terms: x + 23x = 24x 45 + 24x = 43(x + 25) Reorder the terms: 45 + 24x = 43(25 + x) 45 + 24x = (25 * 43 + x * 43) 45 + 24x = (1075 + 43x) Solving 45 + 24x = 1075 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 45 + 24x + -43x = 1075 + 43x + -43x Combine like terms: 24x + -43x = -19x 45 + -19x = 1075 + 43x + -43x Combine like terms: 43x + -43x = 0 45 + -19x = 1075 + 0 45 + -19x = 1075 Add '-45' to each side of the equation. 45 + -45 + -19x = 1075 + -45 Combine like terms: 45 + -45 = 0 0 + -19x = 1075 + -45 -19x = 1075 + -45 Combine like terms: 1075 + -45 = 1030 -19x = 1030 Divide each side by '-19'. x = -54.21052632 Simplifying x = -54.21052632
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