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Simplifying 15 + -1(2x + -9) = -7x + 74 Reorder the terms: 15 + -1(-9 + 2x) = -7x + 74 15 + (-9 * -1 + 2x * -1) = -7x + 74 15 + (9 + -2x) = -7x + 74 Combine like terms: 15 + 9 = 24 24 + -2x = -7x + 74 Reorder the terms: 24 + -2x = 74 + -7x Solving 24 + -2x = 74 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + -2x + 7x = 74 + -7x + 7x Combine like terms: -2x + 7x = 5x 24 + 5x = 74 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 5x = 74 + 0 24 + 5x = 74 Add '-24' to each side of the equation. 24 + -24 + 5x = 74 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 74 + -24 5x = 74 + -24 Combine like terms: 74 + -24 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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