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Simplifying 2x + 7 + 9 + -4 + 3x + 2x = 4x + 9 + -2 + 1 + 7x Reorder the terms: 7 + 9 + -4 + 2x + 3x + 2x = 4x + 9 + -2 + 1 + 7x Combine like terms: 7 + 9 = 16 16 + -4 + 2x + 3x + 2x = 4x + 9 + -2 + 1 + 7x Combine like terms: 16 + -4 = 12 12 + 2x + 3x + 2x = 4x + 9 + -2 + 1 + 7x Combine like terms: 2x + 3x = 5x 12 + 5x + 2x = 4x + 9 + -2 + 1 + 7x Combine like terms: 5x + 2x = 7x 12 + 7x = 4x + 9 + -2 + 1 + 7x Reorder the terms: 12 + 7x = 9 + -2 + 1 + 4x + 7x Combine like terms: 9 + -2 = 7 12 + 7x = 7 + 1 + 4x + 7x Combine like terms: 7 + 1 = 8 12 + 7x = 8 + 4x + 7x Combine like terms: 4x + 7x = 11x 12 + 7x = 8 + 11x Solving 12 + 7x = 8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 7x + -11x = 8 + 11x + -11x Combine like terms: 7x + -11x = -4x 12 + -4x = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + -4x = 8 + 0 12 + -4x = 8 Add '-12' to each side of the equation. 12 + -12 + -4x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 8 + -12 -4x = 8 + -12 Combine like terms: 8 + -12 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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