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Simplifying 0.1(x + 5) + 1.1(x + -4) = 0 Reorder the terms: 0.1(5 + x) + 1.1(x + -4) = 0 (5 * 0.1 + x * 0.1) + 1.1(x + -4) = 0 (0.5 + 0.1x) + 1.1(x + -4) = 0 Reorder the terms: 0.5 + 0.1x + 1.1(-4 + x) = 0 0.5 + 0.1x + (-4 * 1.1 + x * 1.1) = 0 0.5 + 0.1x + (-4.4 + 1.1x) = 0 Reorder the terms: 0.5 + -4.4 + 0.1x + 1.1x = 0 Combine like terms: 0.5 + -4.4 = -3.9 -3.9 + 0.1x + 1.1x = 0 Combine like terms: 0.1x + 1.1x = 1.2x -3.9 + 1.2x = 0 Solving -3.9 + 1.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.9' to each side of the equation. -3.9 + 3.9 + 1.2x = 0 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 1.2x = 0 + 3.9 1.2x = 0 + 3.9 Combine like terms: 0 + 3.9 = 3.9 1.2x = 3.9 Divide each side by '1.2'. x = 3.25 Simplifying x = 3.25
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