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Simplifying 8(0.5x + 2) = 2x + 4 Reorder the terms: 8(2 + 0.5x) = 2x + 4 (2 * 8 + 0.5x * 8) = 2x + 4 (16 + 4x) = 2x + 4 Reorder the terms: 16 + 4x = 4 + 2x Solving 16 + 4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 16 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 2x = 4 + 0 16 + 2x = 4 Add '-16' to each side of the equation. 16 + -16 + 2x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 4 + -16 2x = 4 + -16 Combine like terms: 4 + -16 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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