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Simplifying 0.8(12 + x) = 4x + 8 (12 * 0.8 + x * 0.8) = 4x + 8 (9.6 + 0.8x) = 4x + 8 Reorder the terms: 9.6 + 0.8x = 8 + 4x Solving 9.6 + 0.8x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9.6 + 0.8x + -4x = 8 + 4x + -4x Combine like terms: 0.8x + -4x = -3.2x 9.6 + -3.2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 9.6 + -3.2x = 8 + 0 9.6 + -3.2x = 8 Add '-9.6' to each side of the equation. 9.6 + -9.6 + -3.2x = 8 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + -3.2x = 8 + -9.6 -3.2x = 8 + -9.6 Combine like terms: 8 + -9.6 = -1.6 -3.2x = -1.6 Divide each side by '-3.2'. x = 0.5 Simplifying x = 0.5
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