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Simplifying 7x + 12 + -4x = 9 + 2x + 5 Reorder the terms: 12 + 7x + -4x = 9 + 2x + 5 Combine like terms: 7x + -4x = 3x 12 + 3x = 9 + 2x + 5 Reorder the terms: 12 + 3x = 9 + 5 + 2x Combine like terms: 9 + 5 = 14 12 + 3x = 14 + 2x Solving 12 + 3x = 14 + 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 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 14 + 0 12 + 1x = 14 Add '-12' to each side of the equation. 12 + -12 + 1x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 14 + -12 1x = 14 + -12 Combine like terms: 14 + -12 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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