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Simplifying 11x + 3x + 8 + -14x + 12 = 7 + 9x + -5x + -13 + 6 Reorder the terms: 8 + 12 + 11x + 3x + -14x = 7 + 9x + -5x + -13 + 6 Combine like terms: 8 + 12 = 20 20 + 11x + 3x + -14x = 7 + 9x + -5x + -13 + 6 Combine like terms: 11x + 3x = 14x 20 + 14x + -14x = 7 + 9x + -5x + -13 + 6 Combine like terms: 14x + -14x = 0 20 + 0 = 7 + 9x + -5x + -13 + 6 20 = 7 + 9x + -5x + -13 + 6 Reorder the terms: 20 = 7 + -13 + 6 + 9x + -5x Combine like terms: 7 + -13 = -6 20 = -6 + 6 + 9x + -5x Combine like terms: -6 + 6 = 0 20 = 0 + 9x + -5x 20 = 9x + -5x Combine like terms: 9x + -5x = 4x 20 = 4x Solving 20 = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 20 + -4x = 0 Add '-20' to each side of the equation. 20 + -20 + -4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 0 + -20 -4x = 0 + -20 Combine like terms: 0 + -20 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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