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Simplifying 4.6(x + -3.4) + 5.1x = 0 Reorder the terms: 4.6(-3.4 + x) + 5.1x = 0 (-3.4 * 4.6 + x * 4.6) + 5.1x = 0 (-15.64 + 4.6x) + 5.1x = 0 Combine like terms: 4.6x + 5.1x = 9.7x -15.64 + 9.7x = 0 Solving -15.64 + 9.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.64' to each side of the equation. -15.64 + 15.64 + 9.7x = 0 + 15.64 Combine like terms: -15.64 + 15.64 = 0.00 0.00 + 9.7x = 0 + 15.64 9.7x = 0 + 15.64 Combine like terms: 0 + 15.64 = 15.64 9.7x = 15.64 Divide each side by '9.7'. x = 1.612371134 Simplifying x = 1.612371134
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