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Simplifying 7(1 + 2x) + -11 = 8(3x + 1) + 2x (1 * 7 + 2x * 7) + -11 = 8(3x + 1) + 2x (7 + 14x) + -11 = 8(3x + 1) + 2x Reorder the terms: 7 + -11 + 14x = 8(3x + 1) + 2x Combine like terms: 7 + -11 = -4 -4 + 14x = 8(3x + 1) + 2x Reorder the terms: -4 + 14x = 8(1 + 3x) + 2x -4 + 14x = (1 * 8 + 3x * 8) + 2x -4 + 14x = (8 + 24x) + 2x Combine like terms: 24x + 2x = 26x -4 + 14x = 8 + 26x Solving -4 + 14x = 8 + 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. -4 + 14x + -26x = 8 + 26x + -26x Combine like terms: 14x + -26x = -12x -4 + -12x = 8 + 26x + -26x Combine like terms: 26x + -26x = 0 -4 + -12x = 8 + 0 -4 + -12x = 8 Add '4' to each side of the equation. -4 + 4 + -12x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 8 + 4 -12x = 8 + 4 Combine like terms: 8 + 4 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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