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Simplifying 7x + 6(x + -5) = 74 Reorder the terms: 7x + 6(-5 + x) = 74 7x + (-5 * 6 + x * 6) = 74 7x + (-30 + 6x) = 74 Reorder the terms: -30 + 7x + 6x = 74 Combine like terms: 7x + 6x = 13x -30 + 13x = 74 Solving -30 + 13x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 13x = 74 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 74 + 30 13x = 74 + 30 Combine like terms: 74 + 30 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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