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Simplifying -12 + 4x + 7 = 11x + 5(3x + -1) Reorder the terms: -12 + 7 + 4x = 11x + 5(3x + -1) Combine like terms: -12 + 7 = -5 -5 + 4x = 11x + 5(3x + -1) Reorder the terms: -5 + 4x = 11x + 5(-1 + 3x) -5 + 4x = 11x + (-1 * 5 + 3x * 5) -5 + 4x = 11x + (-5 + 15x) Reorder the terms: -5 + 4x = -5 + 11x + 15x Combine like terms: 11x + 15x = 26x -5 + 4x = -5 + 26x Add '5' to each side of the equation. -5 + 5 + 4x = -5 + 5 + 26x Combine like terms: -5 + 5 = 0 0 + 4x = -5 + 5 + 26x 4x = -5 + 5 + 26x Combine like terms: -5 + 5 = 0 4x = 0 + 26x 4x = 26x Solving 4x = 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 4x + -26x = 26x + -26x Combine like terms: 4x + -26x = -22x -22x = 26x + -26x Combine like terms: 26x + -26x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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