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Simplifying -83 = 5 + -4(1 + 3x) -83 = 5 + (1 * -4 + 3x * -4) -83 = 5 + (-4 + -12x) Combine like terms: 5 + -4 = 1 -83 = 1 + -12x Solving -83 = 1 + -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. -83 + 12x = 1 + -12x + 12x Combine like terms: -12x + 12x = 0 -83 + 12x = 1 + 0 -83 + 12x = 1 Add '83' to each side of the equation. -83 + 83 + 12x = 1 + 83 Combine like terms: -83 + 83 = 0 0 + 12x = 1 + 83 12x = 1 + 83 Combine like terms: 1 + 83 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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