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Simplifying 0.8(x + 3) + 1.8(x + -2) = 0 Reorder the terms: 0.8(3 + x) + 1.8(x + -2) = 0 (3 * 0.8 + x * 0.8) + 1.8(x + -2) = 0 (2.4 + 0.8x) + 1.8(x + -2) = 0 Reorder the terms: 2.4 + 0.8x + 1.8(-2 + x) = 0 2.4 + 0.8x + (-2 * 1.8 + x * 1.8) = 0 2.4 + 0.8x + (-3.6 + 1.8x) = 0 Reorder the terms: 2.4 + -3.6 + 0.8x + 1.8x = 0 Combine like terms: 2.4 + -3.6 = -1.2 -1.2 + 0.8x + 1.8x = 0 Combine like terms: 0.8x + 1.8x = 2.6x -1.2 + 2.6x = 0 Solving -1.2 + 2.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 2.6x = 0 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 2.6x = 0 + 1.2 2.6x = 0 + 1.2 Combine like terms: 0 + 1.2 = 1.2 2.6x = 1.2 Divide each side by '2.6'. x = 0.4615384615 Simplifying x = 0.4615384615
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