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Simplifying 0.5(14x + 8) = 6x + 8 Reorder the terms: 0.5(8 + 14x) = 6x + 8 (8 * 0.5 + 14x * 0.5) = 6x + 8 (4 + 7x) = 6x + 8 Reorder the terms: 4 + 7x = 8 + 6x Solving 4 + 7x = 8 + 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. 4 + 7x + -6x = 8 + 6x + -6x Combine like terms: 7x + -6x = 1x 4 + 1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 1x = 8 + 0 4 + 1x = 8 Add '-4' to each side of the equation. 4 + -4 + 1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 8 + -4 1x = 8 + -4 Combine like terms: 8 + -4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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