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Simplifying 0.6(9x + 8) = 1.3(x + 2) Reorder the terms: 0.6(8 + 9x) = 1.3(x + 2) (8 * 0.6 + 9x * 0.6) = 1.3(x + 2) (4.8 + 5.4x) = 1.3(x + 2) Reorder the terms: 4.8 + 5.4x = 1.3(2 + x) 4.8 + 5.4x = (2 * 1.3 + x * 1.3) 4.8 + 5.4x = (2.6 + 1.3x) Solving 4.8 + 5.4x = 2.6 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 4.8 + 5.4x + -1.3x = 2.6 + 1.3x + -1.3x Combine like terms: 5.4x + -1.3x = 4.1x 4.8 + 4.1x = 2.6 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 4.8 + 4.1x = 2.6 + 0.0 4.8 + 4.1x = 2.6 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 4.1x = 2.6 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 4.1x = 2.6 + -4.8 4.1x = 2.6 + -4.8 Combine like terms: 2.6 + -4.8 = -2.2 4.1x = -2.2 Divide each side by '4.1'. x = -0.5365853659 Simplifying x = -0.5365853659
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