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Simplifying 2(x + 6) = 5(4x + -1) Reorder the terms: 2(6 + x) = 5(4x + -1) (6 * 2 + x * 2) = 5(4x + -1) (12 + 2x) = 5(4x + -1) Reorder the terms: 12 + 2x = 5(-1 + 4x) 12 + 2x = (-1 * 5 + 4x * 5) 12 + 2x = (-5 + 20x) Solving 12 + 2x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 2x + -20x = -5 + 20x + -20x Combine like terms: 2x + -20x = -18x 12 + -18x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -18x = -5 + 0 12 + -18x = -5 Add '-12' to each side of the equation. 12 + -12 + -18x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -5 + -12 -18x = -5 + -12 Combine like terms: -5 + -12 = -17 -18x = -17 Divide each side by '-18'. x = 0.9444444444 Simplifying x = 0.9444444444
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