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Simplifying 0.6(4x + 8) = 1.8(x + 2) Reorder the terms: 0.6(8 + 4x) = 1.8(x + 2) (8 * 0.6 + 4x * 0.6) = 1.8(x + 2) (4.8 + 2.4x) = 1.8(x + 2) Reorder the terms: 4.8 + 2.4x = 1.8(2 + x) 4.8 + 2.4x = (2 * 1.8 + x * 1.8) 4.8 + 2.4x = (3.6 + 1.8x) Solving 4.8 + 2.4x = 3.6 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 4.8 + 2.4x + -1.8x = 3.6 + 1.8x + -1.8x Combine like terms: 2.4x + -1.8x = 0.6x 4.8 + 0.6x = 3.6 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 4.8 + 0.6x = 3.6 + 0.0 4.8 + 0.6x = 3.6 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 0.6x = 3.6 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 0.6x = 3.6 + -4.8 0.6x = 3.6 + -4.8 Combine like terms: 3.6 + -4.8 = -1.2 0.6x = -1.2 Divide each side by '0.6'. x = -2 Simplifying x = -2
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