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Simplifying 0.8(x + 5) + 1.8(x + -4) = 0 Reorder the terms: 0.8(5 + x) + 1.8(x + -4) = 0 (5 * 0.8 + x * 0.8) + 1.8(x + -4) = 0 (4 + 0.8x) + 1.8(x + -4) = 0 Reorder the terms: 4 + 0.8x + 1.8(-4 + x) = 0 4 + 0.8x + (-4 * 1.8 + x * 1.8) = 0 4 + 0.8x + (-7.2 + 1.8x) = 0 Reorder the terms: 4 + -7.2 + 0.8x + 1.8x = 0 Combine like terms: 4 + -7.2 = -3.2 -3.2 + 0.8x + 1.8x = 0 Combine like terms: 0.8x + 1.8x = 2.6x -3.2 + 2.6x = 0 Solving -3.2 + 2.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.2' to each side of the equation. -3.2 + 3.2 + 2.6x = 0 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 2.6x = 0 + 3.2 2.6x = 0 + 3.2 Combine like terms: 0 + 3.2 = 3.2 2.6x = 3.2 Divide each side by '2.6'. x = 1.230769231 Simplifying x = 1.230769231
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