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Simplifying 4x + 2 + 6x + -12 = 11x + -21 Reorder the terms: 2 + -12 + 4x + 6x = 11x + -21 Combine like terms: 2 + -12 = -10 -10 + 4x + 6x = 11x + -21 Combine like terms: 4x + 6x = 10x -10 + 10x = 11x + -21 Reorder the terms: -10 + 10x = -21 + 11x Solving -10 + 10x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 10x + -11x = -21 + 11x + -11x Combine like terms: 10x + -11x = -1x -10 + -1x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + -1x = -21 + 0 -10 + -1x = -21 Add '10' to each side of the equation. -10 + 10 + -1x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -21 + 10 -1x = -21 + 10 Combine like terms: -21 + 10 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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