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Simplifying 12(x + 5) = 1.6(2x + 5) Reorder the terms: 12(5 + x) = 1.6(2x + 5) (5 * 12 + x * 12) = 1.6(2x + 5) (60 + 12x) = 1.6(2x + 5) Reorder the terms: 60 + 12x = 1.6(5 + 2x) 60 + 12x = (5 * 1.6 + 2x * 1.6) 60 + 12x = (8 + 3.2x) Solving 60 + 12x = 8 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 60 + 12x + -3.2x = 8 + 3.2x + -3.2x Combine like terms: 12x + -3.2x = 8.8x 60 + 8.8x = 8 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 60 + 8.8x = 8 + 0.0 60 + 8.8x = 8 Add '-60' to each side of the equation. 60 + -60 + 8.8x = 8 + -60 Combine like terms: 60 + -60 = 0 0 + 8.8x = 8 + -60 8.8x = 8 + -60 Combine like terms: 8 + -60 = -52 8.8x = -52 Divide each side by '8.8'. x = -5.909090909 Simplifying x = -5.909090909
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