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Simplifying 6x + -11 = 21 + -2(3x + 4) Reorder the terms: -11 + 6x = 21 + -2(3x + 4) Reorder the terms: -11 + 6x = 21 + -2(4 + 3x) -11 + 6x = 21 + (4 * -2 + 3x * -2) -11 + 6x = 21 + (-8 + -6x) Combine like terms: 21 + -8 = 13 -11 + 6x = 13 + -6x Solving -11 + 6x = 13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -11 + 6x + 6x = 13 + -6x + 6x Combine like terms: 6x + 6x = 12x -11 + 12x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 12x = 13 + 0 -11 + 12x = 13 Add '11' to each side of the equation. -11 + 11 + 12x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 13 + 11 12x = 13 + 11 Combine like terms: 13 + 11 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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