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Simplifying 83 = -5x + 3(1 + 7x) 83 = -5x + (1 * 3 + 7x * 3) 83 = -5x + (3 + 21x) Reorder the terms: 83 = 3 + -5x + 21x Combine like terms: -5x + 21x = 16x 83 = 3 + 16x Solving 83 = 3 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 83 + -16x = 3 + 16x + -16x Combine like terms: 16x + -16x = 0 83 + -16x = 3 + 0 83 + -16x = 3 Add '-83' to each side of the equation. 83 + -83 + -16x = 3 + -83 Combine like terms: 83 + -83 = 0 0 + -16x = 3 + -83 -16x = 3 + -83 Combine like terms: 3 + -83 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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