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