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Simplifying 3x + 11 + -2x = 7 + 3x + -6 Reorder the terms: 11 + 3x + -2x = 7 + 3x + -6 Combine like terms: 3x + -2x = 1x 11 + 1x = 7 + 3x + -6 Reorder the terms: 11 + 1x = 7 + -6 + 3x Combine like terms: 7 + -6 = 1 11 + 1x = 1 + 3x Solving 11 + 1x = 1 + 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. 11 + 1x + -3x = 1 + 3x + -3x Combine like terms: 1x + -3x = -2x 11 + -2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -2x = 1 + 0 11 + -2x = 1 Add '-11' to each side of the equation. 11 + -11 + -2x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 1 + -11 -2x = 1 + -11 Combine like terms: 1 + -11 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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