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Simplifying 0.1(x + 6) + 1.1(x + -5) = 0 Reorder the terms: 0.1(6 + x) + 1.1(x + -5) = 0 (6 * 0.1 + x * 0.1) + 1.1(x + -5) = 0 (0.6 + 0.1x) + 1.1(x + -5) = 0 Reorder the terms: 0.6 + 0.1x + 1.1(-5 + x) = 0 0.6 + 0.1x + (-5 * 1.1 + x * 1.1) = 0 0.6 + 0.1x + (-5.5 + 1.1x) = 0 Reorder the terms: 0.6 + -5.5 + 0.1x + 1.1x = 0 Combine like terms: 0.6 + -5.5 = -4.9 -4.9 + 0.1x + 1.1x = 0 Combine like terms: 0.1x + 1.1x = 1.2x -4.9 + 1.2x = 0 Solving -4.9 + 1.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.9' to each side of the equation. -4.9 + 4.9 + 1.2x = 0 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + 1.2x = 0 + 4.9 1.2x = 0 + 4.9 Combine like terms: 0 + 4.9 = 4.9 1.2x = 4.9 Divide each side by '1.2'. x = 4.083333333 Simplifying x = 4.083333333
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