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Simplifying 3(5x + -1) = 12x + 6 Reorder the terms: 3(-1 + 5x) = 12x + 6 (-1 * 3 + 5x * 3) = 12x + 6 (-3 + 15x) = 12x + 6 Reorder the terms: -3 + 15x = 6 + 12x Solving -3 + 15x = 6 + 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. -3 + 15x + -12x = 6 + 12x + -12x Combine like terms: 15x + -12x = 3x -3 + 3x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + 3x = 6 + 0 -3 + 3x = 6 Add '3' to each side of the equation. -3 + 3 + 3x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 6 + 3 3x = 6 + 3 Combine like terms: 6 + 3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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