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Simplifying 3x + 2 + x + 9 = 7x + 4 Reorder the terms: 2 + 9 + 3x + x = 7x + 4 Combine like terms: 2 + 9 = 11 11 + 3x + x = 7x + 4 Combine like terms: 3x + x = 4x 11 + 4x = 7x + 4 Reorder the terms: 11 + 4x = 4 + 7x Solving 11 + 4x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 4x + -7x = 4 + 7x + -7x Combine like terms: 4x + -7x = -3x 11 + -3x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -3x = 4 + 0 11 + -3x = 4 Add '-11' to each side of the equation. 11 + -11 + -3x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 4 + -11 -3x = 4 + -11 Combine like terms: 4 + -11 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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