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Simplifying 5.3(8x + -5.1) + 3.4x = 14.19 Reorder the terms: 5.3(-5.1 + 8x) + 3.4x = 14.19 (-5.1 * 5.3 + 8x * 5.3) + 3.4x = 14.19 (-27.03 + 42.4x) + 3.4x = 14.19 Combine like terms: 42.4x + 3.4x = 45.8x -27.03 + 45.8x = 14.19 Solving -27.03 + 45.8x = 14.19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27.03' to each side of the equation. -27.03 + 27.03 + 45.8x = 14.19 + 27.03 Combine like terms: -27.03 + 27.03 = 0.00 0.00 + 45.8x = 14.19 + 27.03 45.8x = 14.19 + 27.03 Combine like terms: 14.19 + 27.03 = 41.22 45.8x = 41.22 Divide each side by '45.8'. x = 0.9 Simplifying x = 0.9
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