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Simplifying -7(3x + 2) + 6x = 106 Reorder the terms: -7(2 + 3x) + 6x = 106 (2 * -7 + 3x * -7) + 6x = 106 (-14 + -21x) + 6x = 106 Combine like terms: -21x + 6x = -15x -14 + -15x = 106 Solving -14 + -15x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -15x = 106 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = 106 + 14 -15x = 106 + 14 Combine like terms: 106 + 14 = 120 -15x = 120 Divide each side by '-15'. x = -8 Simplifying x = -8
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