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Simplifying 0.4(x + 7) + 1.4(x + -6) = 0 Reorder the terms: 0.4(7 + x) + 1.4(x + -6) = 0 (7 * 0.4 + x * 0.4) + 1.4(x + -6) = 0 (2.8 + 0.4x) + 1.4(x + -6) = 0 Reorder the terms: 2.8 + 0.4x + 1.4(-6 + x) = 0 2.8 + 0.4x + (-6 * 1.4 + x * 1.4) = 0 2.8 + 0.4x + (-8.4 + 1.4x) = 0 Reorder the terms: 2.8 + -8.4 + 0.4x + 1.4x = 0 Combine like terms: 2.8 + -8.4 = -5.6 -5.6 + 0.4x + 1.4x = 0 Combine like terms: 0.4x + 1.4x = 1.8x -5.6 + 1.8x = 0 Solving -5.6 + 1.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.6' to each side of the equation. -5.6 + 5.6 + 1.8x = 0 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 1.8x = 0 + 5.6 1.8x = 0 + 5.6 Combine like terms: 0 + 5.6 = 5.6 1.8x = 5.6 Divide each side by '1.8'. x = 3.111111111 Simplifying x = 3.111111111
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