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Simplifying 5(7 + -2x) + -2 = 83 (7 * 5 + -2x * 5) + -2 = 83 (35 + -10x) + -2 = 83 Reorder the terms: 35 + -2 + -10x = 83 Combine like terms: 35 + -2 = 33 33 + -10x = 83 Solving 33 + -10x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -10x = 83 + -33 Combine like terms: 33 + -33 = 0 0 + -10x = 83 + -33 -10x = 83 + -33 Combine like terms: 83 + -33 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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