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Simplifying 3x + 16 = 2x + 52 Reorder the terms: 16 + 3x = 2x + 52 Reorder the terms: 16 + 3x = 52 + 2x Solving 16 + 3x = 52 + 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 + 3x + -2x = 52 + 2x + -2x Combine like terms: 3x + -2x = 1x 16 + 1x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 1x = 52 + 0 16 + 1x = 52 Add '-16' to each side of the equation. 16 + -16 + 1x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 52 + -16 1x = 52 + -16 Combine like terms: 52 + -16 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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