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Simplifying 3x + 16 = 4x + 20 + 1 Reorder the terms: 16 + 3x = 4x + 20 + 1 Reorder the terms: 16 + 3x = 20 + 1 + 4x Combine like terms: 20 + 1 = 21 16 + 3x = 21 + 4x Solving 16 + 3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 3x + -4x = 21 + 4x + -4x Combine like terms: 3x + -4x = -1x 16 + -1x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -1x = 21 + 0 16 + -1x = 21 Add '-16' to each side of the equation. 16 + -16 + -1x = 21 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 21 + -16 -1x = 21 + -16 Combine like terms: 21 + -16 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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