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Simplifying 6x + 16 = 2x + 100 Reorder the terms: 16 + 6x = 2x + 100 Reorder the terms: 16 + 6x = 100 + 2x Solving 16 + 6x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 6x + -2x = 100 + 2x + -2x Combine like terms: 6x + -2x = 4x 16 + 4x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 4x = 100 + 0 16 + 4x = 100 Add '-16' to each side of the equation. 16 + -16 + 4x = 100 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 100 + -16 4x = 100 + -16 Combine like terms: 100 + -16 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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