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Simplifying -13 + 83 = -5(x + 1) Combine like terms: -13 + 83 = 70 70 = -5(x + 1) Reorder the terms: 70 = -5(1 + x) 70 = (1 * -5 + x * -5) 70 = (-5 + -5x) Solving 70 = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 70 + 5x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 70 + 5x = -5 + 0 70 + 5x = -5 Add '-70' to each side of the equation. 70 + -70 + 5x = -5 + -70 Combine like terms: 70 + -70 = 0 0 + 5x = -5 + -70 5x = -5 + -70 Combine like terms: -5 + -70 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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