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Simplifying -13 + -7x = -3(4x + -4) Reorder the terms: -13 + -7x = -3(-4 + 4x) -13 + -7x = (-4 * -3 + 4x * -3) -13 + -7x = (12 + -12x) Solving -13 + -7x = 12 + -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. -13 + -7x + 12x = 12 + -12x + 12x Combine like terms: -7x + 12x = 5x -13 + 5x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 5x = 12 + 0 -13 + 5x = 12 Add '13' to each side of the equation. -13 + 13 + 5x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 12 + 13 5x = 12 + 13 Combine like terms: 12 + 13 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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