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Simplifying 0.5(4x + 8) = 1.6 + -1(x + 2) Reorder the terms: 0.5(8 + 4x) = 1.6 + -1(x + 2) (8 * 0.5 + 4x * 0.5) = 1.6 + -1(x + 2) (4 + 2x) = 1.6 + -1(x + 2) Reorder the terms: 4 + 2x = 1.6 + -1(2 + x) 4 + 2x = 1.6 + (2 * -1 + x * -1) 4 + 2x = 1.6 + (-2 + -1x) Combine like terms: 1.6 + -2 = -0.4 4 + 2x = -0.4 + -1x Solving 4 + 2x = -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 + 2x + x = -0.4 + -1x + x Combine like terms: 2x + x = 3x 4 + 3x = -0.4 + -1x + x Combine like terms: -1x + x = 0 4 + 3x = -0.4 + 0 4 + 3x = -0.4 Add '-4' to each side of the equation. 4 + -4 + 3x = -0.4 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -0.4 + -4 3x = -0.4 + -4 Combine like terms: -0.4 + -4 = -4.4 3x = -4.4 Divide each side by '3'. x = -1.466666667 Simplifying x = -1.466666667
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