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Simplifying 0.5(x + 7) = 6x Reorder the terms: 0.5(7 + x) = 6x (7 * 0.5 + x * 0.5) = 6x (3.5 + 0.5x) = 6x Solving 3.5 + 0.5x = 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. 3.5 + 0.5x + -6x = 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 3.5 + -5.5x = 6x + -6x Combine like terms: 6x + -6x = 0 3.5 + -5.5x = 0 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -5.5x = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -5.5x = 0 + -3.5 -5.5x = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -5.5x = -3.5 Divide each side by '-5.5'. x = 0.6363636364 Simplifying x = 0.6363636364
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