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Simplifying 11x + -7 + 3x = 19 + 22 + 6x Reorder the terms: -7 + 11x + 3x = 19 + 22 + 6x Combine like terms: 11x + 3x = 14x -7 + 14x = 19 + 22 + 6x Combine like terms: 19 + 22 = 41 -7 + 14x = 41 + 6x Solving -7 + 14x = 41 + 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. -7 + 14x + -6x = 41 + 6x + -6x Combine like terms: 14x + -6x = 8x -7 + 8x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 8x = 41 + 0 -7 + 8x = 41 Add '7' to each side of the equation. -7 + 7 + 8x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 41 + 7 8x = 41 + 7 Combine like terms: 41 + 7 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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