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Simplifying 0.4(4x + 8) = 1.5 + -1(x + 2) Reorder the terms: 0.4(8 + 4x) = 1.5 + -1(x + 2) (8 * 0.4 + 4x * 0.4) = 1.5 + -1(x + 2) (3.2 + 1.6x) = 1.5 + -1(x + 2) Reorder the terms: 3.2 + 1.6x = 1.5 + -1(2 + x) 3.2 + 1.6x = 1.5 + (2 * -1 + x * -1) 3.2 + 1.6x = 1.5 + (-2 + -1x) Combine like terms: 1.5 + -2 = -0.5 3.2 + 1.6x = -0.5 + -1x Solving 3.2 + 1.6x = -0.5 + -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. 3.2 + 1.6x + x = -0.5 + -1x + x Combine like terms: 1.6x + x = 2.6x 3.2 + 2.6x = -0.5 + -1x + x Combine like terms: -1x + x = 0 3.2 + 2.6x = -0.5 + 0 3.2 + 2.6x = -0.5 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 2.6x = -0.5 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.6x = -0.5 + -3.2 2.6x = -0.5 + -3.2 Combine like terms: -0.5 + -3.2 = -3.7 2.6x = -3.7 Divide each side by '2.6'. x = -1.423076923 Simplifying x = -1.423076923
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