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Simplifying 2(x + 4) = 0.2(2x + 4) Reorder the terms: 2(4 + x) = 0.2(2x + 4) (4 * 2 + x * 2) = 0.2(2x + 4) (8 + 2x) = 0.2(2x + 4) Reorder the terms: 8 + 2x = 0.2(4 + 2x) 8 + 2x = (4 * 0.2 + 2x * 0.2) 8 + 2x = (0.8 + 0.4x) Solving 8 + 2x = 0.8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 8 + 2x + -0.4x = 0.8 + 0.4x + -0.4x Combine like terms: 2x + -0.4x = 1.6x 8 + 1.6x = 0.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 8 + 1.6x = 0.8 + 0.0 8 + 1.6x = 0.8 Add '-8' to each side of the equation. 8 + -8 + 1.6x = 0.8 + -8 Combine like terms: 8 + -8 = 0 0 + 1.6x = 0.8 + -8 1.6x = 0.8 + -8 Combine like terms: 0.8 + -8 = -7.2 1.6x = -7.2 Divide each side by '1.6'. x = -4.5 Simplifying x = -4.5
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