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Simplifying 0.6(4x + 8) = 1.1(x + 2) Reorder the terms: 0.6(8 + 4x) = 1.1(x + 2) (8 * 0.6 + 4x * 0.6) = 1.1(x + 2) (4.8 + 2.4x) = 1.1(x + 2) Reorder the terms: 4.8 + 2.4x = 1.1(2 + x) 4.8 + 2.4x = (2 * 1.1 + x * 1.1) 4.8 + 2.4x = (2.2 + 1.1x) Solving 4.8 + 2.4x = 2.2 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 4.8 + 2.4x + -1.1x = 2.2 + 1.1x + -1.1x Combine like terms: 2.4x + -1.1x = 1.3x 4.8 + 1.3x = 2.2 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 4.8 + 1.3x = 2.2 + 0.0 4.8 + 1.3x = 2.2 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 1.3x = 2.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 1.3x = 2.2 + -4.8 1.3x = 2.2 + -4.8 Combine like terms: 2.2 + -4.8 = -2.6 1.3x = -2.6 Divide each side by '1.3'. x = -2 Simplifying x = -2
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