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Simplifying 0.5(8x + 12) = 6x Reorder the terms: 0.5(12 + 8x) = 6x (12 * 0.5 + 8x * 0.5) = 6x (6 + 4x) = 6x Solving 6 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x 6 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 6 + -2x = 0 Add '-6' to each side of the equation. 6 + -6 + -2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 0 + -6 -2x = 0 + -6 Combine like terms: 0 + -6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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