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Simplifying 7x + -5 + -1(6 + -8x) + 2 = 3x + -7 + 106 7x + -5 + (6 * -1 + -8x * -1) + 2 = 3x + -7 + 106 7x + -5 + (-6 + 8x) + 2 = 3x + -7 + 106 Reorder the terms: -5 + -6 + 2 + 7x + 8x = 3x + -7 + 106 Combine like terms: -5 + -6 = -11 -11 + 2 + 7x + 8x = 3x + -7 + 106 Combine like terms: -11 + 2 = -9 -9 + 7x + 8x = 3x + -7 + 106 Combine like terms: 7x + 8x = 15x -9 + 15x = 3x + -7 + 106 Reorder the terms: -9 + 15x = -7 + 106 + 3x Combine like terms: -7 + 106 = 99 -9 + 15x = 99 + 3x Solving -9 + 15x = 99 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 15x + -3x = 99 + 3x + -3x Combine like terms: 15x + -3x = 12x -9 + 12x = 99 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 12x = 99 + 0 -9 + 12x = 99 Add '9' to each side of the equation. -9 + 9 + 12x = 99 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 99 + 9 12x = 99 + 9 Combine like terms: 99 + 9 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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