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Simplifying 4.9(3.7x + 1.4) = 34.7x Reorder the terms: 4.9(1.4 + 3.7x) = 34.7x (1.4 * 4.9 + 3.7x * 4.9) = 34.7x (6.86 + 18.13x) = 34.7x Solving 6.86 + 18.13x = 34.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34.7x' to each side of the equation. 6.86 + 18.13x + -34.7x = 34.7x + -34.7x Combine like terms: 18.13x + -34.7x = -16.57x 6.86 + -16.57x = 34.7x + -34.7x Combine like terms: 34.7x + -34.7x = 0.0 6.86 + -16.57x = 0.0 Add '-6.86' to each side of the equation. 6.86 + -6.86 + -16.57x = 0.0 + -6.86 Combine like terms: 6.86 + -6.86 = 0.00 0.00 + -16.57x = 0.0 + -6.86 -16.57x = 0.0 + -6.86 Combine like terms: 0.0 + -6.86 = -6.86 -16.57x = -6.86 Divide each side by '-16.57'. x = 0.414001207 Simplifying x = 0.414001207
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