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Simplifying 4[3x + -1] = 5x + 66 Reorder the terms: 4[-1 + 3x] = 5x + 66 [-1 * 4 + 3x * 4] = 5x + 66 [-4 + 12x] = 5x + 66 Reorder the terms: -4 + 12x = 66 + 5x Solving -4 + 12x = 66 + 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. -4 + 12x + -5x = 66 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = 66 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = 66 + 0 -4 + 7x = 66 Add '4' to each side of the equation. -4 + 4 + 7x = 66 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 66 + 4 7x = 66 + 4 Combine like terms: 66 + 4 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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