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Simplifying 3.4(x + 1.6) + 1.4(4x + -3.9) = 0 Reorder the terms: 3.4(1.6 + x) + 1.4(4x + -3.9) = 0 (1.6 * 3.4 + x * 3.4) + 1.4(4x + -3.9) = 0 (5.44 + 3.4x) + 1.4(4x + -3.9) = 0 Reorder the terms: 5.44 + 3.4x + 1.4(-3.9 + 4x) = 0 5.44 + 3.4x + (-3.9 * 1.4 + 4x * 1.4) = 0 5.44 + 3.4x + (-5.46 + 5.6x) = 0 Reorder the terms: 5.44 + -5.46 + 3.4x + 5.6x = 0 Combine like terms: 5.44 + -5.46 = -0.02 -0.02 + 3.4x + 5.6x = 0 Combine like terms: 3.4x + 5.6x = 9x -0.02 + 9x = 0 Solving -0.02 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + 9x = 0 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 9x = 0 + 0.02 9x = 0 + 0.02 Combine like terms: 0 + 0.02 = 0.02 9x = 0.02 Divide each side by '9'. x = 0.002222222222 Simplifying x = 0.002222222222
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