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Simplifying 7x + 4x + -4 = 23 + 2x Reorder the terms: -4 + 7x + 4x = 23 + 2x Combine like terms: 7x + 4x = 11x -4 + 11x = 23 + 2x Solving -4 + 11x = 23 + 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. -4 + 11x + -2x = 23 + 2x + -2x Combine like terms: 11x + -2x = 9x -4 + 9x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 9x = 23 + 0 -4 + 9x = 23 Add '4' to each side of the equation. -4 + 4 + 9x = 23 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 23 + 4 9x = 23 + 4 Combine like terms: 23 + 4 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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