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Simplifying 0.5(8x + 16) = 1.8 + -1(x + 2) Reorder the terms: 0.5(16 + 8x) = 1.8 + -1(x + 2) (16 * 0.5 + 8x * 0.5) = 1.8 + -1(x + 2) (8 + 4x) = 1.8 + -1(x + 2) Reorder the terms: 8 + 4x = 1.8 + -1(2 + x) 8 + 4x = 1.8 + (2 * -1 + x * -1) 8 + 4x = 1.8 + (-2 + -1x) Combine like terms: 1.8 + -2 = -0.2 8 + 4x = -0.2 + -1x Solving 8 + 4x = -0.2 + -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. 8 + 4x + x = -0.2 + -1x + x Combine like terms: 4x + x = 5x 8 + 5x = -0.2 + -1x + x Combine like terms: -1x + x = 0 8 + 5x = -0.2 + 0 8 + 5x = -0.2 Add '-8' to each side of the equation. 8 + -8 + 5x = -0.2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -0.2 + -8 5x = -0.2 + -8 Combine like terms: -0.2 + -8 = -8.2 5x = -8.2 Divide each side by '5'. x = -1.64 Simplifying x = -1.64
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