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Simplifying 0.5(4x + 6) = 6x Reorder the terms: 0.5(6 + 4x) = 6x (6 * 0.5 + 4x * 0.5) = 6x (3 + 2x) = 6x Solving 3 + 2x = 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 + 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = 0 Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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