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Simplifying 3x + 9 = 4x + 16 Reorder the terms: 9 + 3x = 4x + 16 Reorder the terms: 9 + 3x = 16 + 4x Solving 9 + 3x = 16 + 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. 9 + 3x + -4x = 16 + 4x + -4x Combine like terms: 3x + -4x = -1x 9 + -1x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -1x = 16 + 0 9 + -1x = 16 Add '-9' to each side of the equation. 9 + -9 + -1x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 16 + -9 -1x = 16 + -9 Combine like terms: 16 + -9 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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