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Simplifying 0.5(37 + x + 7) = 6x Reorder the terms: 0.5(37 + 7 + x) = 6x Combine like terms: 37 + 7 = 44 0.5(44 + x) = 6x (44 * 0.5 + x * 0.5) = 6x (22 + 0.5x) = 6x Solving 22 + 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. 22 + 0.5x + -6x = 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 22 + -5.5x = 6x + -6x Combine like terms: 6x + -6x = 0 22 + -5.5x = 0 Add '-22' to each side of the equation. 22 + -22 + -5.5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5.5x = 0 + -22 -5.5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5.5x = -22 Divide each side by '-5.5'. x = 4 Simplifying x = 4
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