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Simplifying 0.5(2x + 6) = 5x + -12 + -1n Reorder the terms: 0.5(6 + 2x) = 5x + -12 + -1n (6 * 0.5 + 2x * 0.5) = 5x + -12 + -1n (3 + 1x) = 5x + -12 + -1n Reorder the terms: 3 + 1x = -12 + -1n + 5x Solving 3 + 1x = -12 + -1n + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 1x + -5x = -12 + -1n + 5x + -5x Combine like terms: 1x + -5x = -4x 3 + -4x = -12 + -1n + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -4x = -12 + -1n + 0 3 + -4x = -12 + -1n Add '-3' to each side of the equation. 3 + -3 + -4x = -12 + -3 + -1n Combine like terms: 3 + -3 = 0 0 + -4x = -12 + -3 + -1n -4x = -12 + -3 + -1n Combine like terms: -12 + -3 = -15 -4x = -15 + -1n Divide each side by '-4'. x = 3.75 + 0.25n Simplifying x = 3.75 + 0.25n
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