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Simplifying 0.083(48 + 24x) = 2(17 + -4x) (48 * 0.083 + 24x * 0.083) = 2(17 + -4x) (3.984 + 1.992x) = 2(17 + -4x) 3.984 + 1.992x = (17 * 2 + -4x * 2) 3.984 + 1.992x = (34 + -8x) Solving 3.984 + 1.992x = 34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3.984 + 1.992x + 8x = 34 + -8x + 8x Combine like terms: 1.992x + 8x = 9.992x 3.984 + 9.992x = 34 + -8x + 8x Combine like terms: -8x + 8x = 0 3.984 + 9.992x = 34 + 0 3.984 + 9.992x = 34 Add '-3.984' to each side of the equation. 3.984 + -3.984 + 9.992x = 34 + -3.984 Combine like terms: 3.984 + -3.984 = 0.000 0.000 + 9.992x = 34 + -3.984 9.992x = 34 + -3.984 Combine like terms: 34 + -3.984 = 30.016 9.992x = 30.016 Divide each side by '9.992'. x = 3.004003203 Simplifying x = 3.004003203
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