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Simplifying 7x + 12 = 2(x + 9) + 14 Reorder the terms: 12 + 7x = 2(x + 9) + 14 Reorder the terms: 12 + 7x = 2(9 + x) + 14 12 + 7x = (9 * 2 + x * 2) + 14 12 + 7x = (18 + 2x) + 14 Reorder the terms: 12 + 7x = 18 + 14 + 2x Combine like terms: 18 + 14 = 32 12 + 7x = 32 + 2x Solving 12 + 7x = 32 + 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. 12 + 7x + -2x = 32 + 2x + -2x Combine like terms: 7x + -2x = 5x 12 + 5x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 5x = 32 + 0 12 + 5x = 32 Add '-12' to each side of the equation. 12 + -12 + 5x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 32 + -12 5x = 32 + -12 Combine like terms: 32 + -12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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