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Simplifying 3x + -5(3x + 7) = 1 Reorder the terms: 3x + -5(7 + 3x) = 1 3x + (7 * -5 + 3x * -5) = 1 3x + (-35 + -15x) = 1 Reorder the terms: -35 + 3x + -15x = 1 Combine like terms: 3x + -15x = -12x -35 + -12x = 1 Solving -35 + -12x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -12x = 1 + 35 Combine like terms: -35 + 35 = 0 0 + -12x = 1 + 35 -12x = 1 + 35 Combine like terms: 1 + 35 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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