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Simplifying 7x + 12 = 3x + 16 + 3x + 14 Reorder the terms: 12 + 7x = 3x + 16 + 3x + 14 Reorder the terms: 12 + 7x = 16 + 14 + 3x + 3x Combine like terms: 16 + 14 = 30 12 + 7x = 30 + 3x + 3x Combine like terms: 3x + 3x = 6x 12 + 7x = 30 + 6x Solving 12 + 7x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 7x + -6x = 30 + 6x + -6x Combine like terms: 7x + -6x = 1x 12 + 1x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 1x = 30 + 0 12 + 1x = 30 Add '-12' to each side of the equation. 12 + -12 + 1x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 30 + -12 1x = 30 + -12 Combine like terms: 30 + -12 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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