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Simplifying 2x + -9 + 4x + -7 = 3x + 11 Reorder the terms: -9 + -7 + 2x + 4x = 3x + 11 Combine like terms: -9 + -7 = -16 -16 + 2x + 4x = 3x + 11 Combine like terms: 2x + 4x = 6x -16 + 6x = 3x + 11 Reorder the terms: -16 + 6x = 11 + 3x Solving -16 + 6x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 6x + -3x = 11 + 3x + -3x Combine like terms: 6x + -3x = 3x -16 + 3x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 3x = 11 + 0 -16 + 3x = 11 Add '16' to each side of the equation. -16 + 16 + 3x = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 11 + 16 3x = 11 + 16 Combine like terms: 11 + 16 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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