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Simplifying 3.8(x + 1.8) + 1.6(2x + -4.3) = 0 Reorder the terms: 3.8(1.8 + x) + 1.6(2x + -4.3) = 0 (1.8 * 3.8 + x * 3.8) + 1.6(2x + -4.3) = 0 (6.84 + 3.8x) + 1.6(2x + -4.3) = 0 Reorder the terms: 6.84 + 3.8x + 1.6(-4.3 + 2x) = 0 6.84 + 3.8x + (-4.3 * 1.6 + 2x * 1.6) = 0 6.84 + 3.8x + (-6.88 + 3.2x) = 0 Reorder the terms: 6.84 + -6.88 + 3.8x + 3.2x = 0 Combine like terms: 6.84 + -6.88 = -0.04 -0.04 + 3.8x + 3.2x = 0 Combine like terms: 3.8x + 3.2x = 7x -0.04 + 7x = 0 Solving -0.04 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04' to each side of the equation. -0.04 + 0.04 + 7x = 0 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 7x = 0 + 0.04 7x = 0 + 0.04 Combine like terms: 0 + 0.04 = 0.04 7x = 0.04 Divide each side by '7'. x = 0.005714285714 Simplifying x = 0.005714285714
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