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Simplifying 24 + x * 5 = 4.14(6 + x) Reorder the terms for easier multiplication: 24 + 5x = 4.14(6 + x) 24 + 5x = (6 * 4.14 + x * 4.14) 24 + 5x = (24.84 + 4.14x) Solving 24 + 5x = 24.84 + 4.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.14x' to each side of the equation. 24 + 5x + -4.14x = 24.84 + 4.14x + -4.14x Combine like terms: 5x + -4.14x = 0.86x 24 + 0.86x = 24.84 + 4.14x + -4.14x Combine like terms: 4.14x + -4.14x = 0.00 24 + 0.86x = 24.84 + 0.00 24 + 0.86x = 24.84 Add '-24' to each side of the equation. 24 + -24 + 0.86x = 24.84 + -24 Combine like terms: 24 + -24 = 0 0 + 0.86x = 24.84 + -24 0.86x = 24.84 + -24 Combine like terms: 24.84 + -24 = 0.84 0.86x = 0.84 Divide each side by '0.86'. x = 0.976744186 Simplifying x = 0.976744186
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