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Simplifying 6(5x + -7) + 7x = 106 Reorder the terms: 6(-7 + 5x) + 7x = 106 (-7 * 6 + 5x * 6) + 7x = 106 (-42 + 30x) + 7x = 106 Combine like terms: 30x + 7x = 37x -42 + 37x = 106 Solving -42 + 37x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 37x = 106 + 42 Combine like terms: -42 + 42 = 0 0 + 37x = 106 + 42 37x = 106 + 42 Combine like terms: 106 + 42 = 148 37x = 148 Divide each side by '37'. x = 4 Simplifying x = 4
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