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