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Simplifying 7x + -1(3x + 9) + 15 = 38 Reorder the terms: 7x + -1(9 + 3x) + 15 = 38 7x + (9 * -1 + 3x * -1) + 15 = 38 7x + (-9 + -3x) + 15 = 38 Reorder the terms: -9 + 15 + 7x + -3x = 38 Combine like terms: -9 + 15 = 6 6 + 7x + -3x = 38 Combine like terms: 7x + -3x = 4x 6 + 4x = 38 Solving 6 + 4x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 38 + -6 4x = 38 + -6 Combine like terms: 38 + -6 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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