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Simplifying 84 = 4(4x + 1) Reorder the terms: 84 = 4(1 + 4x) 84 = (1 * 4 + 4x * 4) 84 = (4 + 16x) Solving 84 = 4 + 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. 84 + -16x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 84 + -16x = 4 + 0 84 + -16x = 4 Add '-84' to each side of the equation. 84 + -84 + -16x = 4 + -84 Combine like terms: 84 + -84 = 0 0 + -16x = 4 + -84 -16x = 4 + -84 Combine like terms: 4 + -84 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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