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Simplifying 3(5x + -2) = 12x Reorder the terms: 3(-2 + 5x) = 12x (-2 * 3 + 5x * 3) = 12x (-6 + 15x) = 12x Solving -6 + 15x = 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. -6 + 15x + -12x = 12x + -12x Combine like terms: 15x + -12x = 3x -6 + 3x = 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 3x = 0 Add '6' to each side of the equation. -6 + 6 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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