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Simplifying 0.7(X + 20) + 0.9x = 78 Reorder the terms: 0.7(20 + X) + 0.9x = 78 (20 * 0.7 + X * 0.7) + 0.9x = 78 (14 + 0.7X) + 0.9x = 78 Solving 14 + 0.7X + 0.9x = 78 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 0.7X + -14 + 0.9x = 78 + -14 Reorder the terms: 14 + -14 + 0.7X + 0.9x = 78 + -14 Combine like terms: 14 + -14 = 0 0 + 0.7X + 0.9x = 78 + -14 0.7X + 0.9x = 78 + -14 Combine like terms: 78 + -14 = 64 0.7X + 0.9x = 64 Add '-0.9x' to each side of the equation. 0.7X + 0.9x + -0.9x = 64 + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.7X + 0.0 = 64 + -0.9x 0.7X = 64 + -0.9x Divide each side by '0.7'. X = 91.42857143 + -1.285714286x Simplifying X = 91.42857143 + -1.285714286x
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