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Simplifying 0.8(x + 6) + 1.8(x + -5) = 0 Reorder the terms: 0.8(6 + x) + 1.8(x + -5) = 0 (6 * 0.8 + x * 0.8) + 1.8(x + -5) = 0 (4.8 + 0.8x) + 1.8(x + -5) = 0 Reorder the terms: 4.8 + 0.8x + 1.8(-5 + x) = 0 4.8 + 0.8x + (-5 * 1.8 + x * 1.8) = 0 4.8 + 0.8x + (-9 + 1.8x) = 0 Reorder the terms: 4.8 + -9 + 0.8x + 1.8x = 0 Combine like terms: 4.8 + -9 = -4.2 -4.2 + 0.8x + 1.8x = 0 Combine like terms: 0.8x + 1.8x = 2.6x -4.2 + 2.6x = 0 Solving -4.2 + 2.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2' to each side of the equation. -4.2 + 4.2 + 2.6x = 0 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 2.6x = 0 + 4.2 2.6x = 0 + 4.2 Combine like terms: 0 + 4.2 = 4.2 2.6x = 4.2 Divide each side by '2.6'. x = 1.615384615 Simplifying x = 1.615384615
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