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Simplifying 3x + -1(15 + -12x) = 3(5 + -5x) 3x + (15 * -1 + -12x * -1) = 3(5 + -5x) 3x + (-15 + 12x) = 3(5 + -5x) Reorder the terms: -15 + 3x + 12x = 3(5 + -5x) Combine like terms: 3x + 12x = 15x -15 + 15x = 3(5 + -5x) -15 + 15x = (5 * 3 + -5x * 3) -15 + 15x = (15 + -15x) Solving -15 + 15x = 15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -15 + 15x + 15x = 15 + -15x + 15x Combine like terms: 15x + 15x = 30x -15 + 30x = 15 + -15x + 15x Combine like terms: -15x + 15x = 0 -15 + 30x = 15 + 0 -15 + 30x = 15 Add '15' to each side of the equation. -15 + 15 + 30x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = 15 + 15 30x = 15 + 15 Combine like terms: 15 + 15 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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