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Simplifying 3x + 16 = 12x + 7 Reorder the terms: 16 + 3x = 12x + 7 Reorder the terms: 16 + 3x = 7 + 12x Solving 16 + 3x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 3x + -12x = 7 + 12x + -12x Combine like terms: 3x + -12x = -9x 16 + -9x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -9x = 7 + 0 16 + -9x = 7 Add '-16' to each side of the equation. 16 + -16 + -9x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 7 + -16 -9x = 7 + -16 Combine like terms: 7 + -16 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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