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Simplifying 154 = 0.5(x)(19.5 + 24.5) Combine like terms: 19.5 + 24.5 = 44 154 = 0.5x(44) Reorder the terms for easier multiplication: 154 = 0.5 * 44x Multiply 0.5 * 44 154 = 22x Solving 154 = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 154 + -22x = 22x + -22x Combine like terms: 22x + -22x = 0 154 + -22x = 0 Add '-154' to each side of the equation. 154 + -154 + -22x = 0 + -154 Combine like terms: 154 + -154 = 0 0 + -22x = 0 + -154 -22x = 0 + -154 Combine like terms: 0 + -154 = -154 -22x = -154 Divide each side by '-22'. x = 7 Simplifying x = 7
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