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Simplifying 5(1 + -2x) + -8 = -83 (1 * 5 + -2x * 5) + -8 = -83 (5 + -10x) + -8 = -83 Reorder the terms: 5 + -8 + -10x = -83 Combine like terms: 5 + -8 = -3 -3 + -10x = -83 Solving -3 + -10x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -10x = -83 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -83 + 3 -10x = -83 + 3 Combine like terms: -83 + 3 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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