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Simplifying 0.4(6x + 12) = 1.6 + -1(x + 2) Reorder the terms: 0.4(12 + 6x) = 1.6 + -1(x + 2) (12 * 0.4 + 6x * 0.4) = 1.6 + -1(x + 2) (4.8 + 2.4x) = 1.6 + -1(x + 2) Reorder the terms: 4.8 + 2.4x = 1.6 + -1(2 + x) 4.8 + 2.4x = 1.6 + (2 * -1 + x * -1) 4.8 + 2.4x = 1.6 + (-2 + -1x) Combine like terms: 1.6 + -2 = -0.4 4.8 + 2.4x = -0.4 + -1x Solving 4.8 + 2.4x = -0.4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4.8 + 2.4x + x = -0.4 + -1x + x Combine like terms: 2.4x + x = 3.4x 4.8 + 3.4x = -0.4 + -1x + x Combine like terms: -1x + x = 0 4.8 + 3.4x = -0.4 + 0 4.8 + 3.4x = -0.4 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 3.4x = -0.4 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 3.4x = -0.4 + -4.8 3.4x = -0.4 + -4.8 Combine like terms: -0.4 + -4.8 = -5.2 3.4x = -5.2 Divide each side by '3.4'. x = -1.529411765 Simplifying x = -1.529411765
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