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Simplifying 3x + 16 = 2x + 9 Reorder the terms: 16 + 3x = 2x + 9 Reorder the terms: 16 + 3x = 9 + 2x Solving 16 + 3x = 9 + 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 = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 16 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 1x = 9 + 0 16 + 1x = 9 Add '-16' to each side of the equation. 16 + -16 + 1x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 9 + -16 1x = 9 + -16 Combine like terms: 9 + -16 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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