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Simplifying 5x + 12 = 9x + 16 Reorder the terms: 12 + 5x = 9x + 16 Reorder the terms: 12 + 5x = 16 + 9x Solving 12 + 5x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 5x + -9x = 16 + 9x + -9x Combine like terms: 5x + -9x = -4x 12 + -4x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -4x = 16 + 0 12 + -4x = 16 Add '-12' to each side of the equation. 12 + -12 + -4x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 16 + -12 -4x = 16 + -12 Combine like terms: 16 + -12 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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