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Simplifying -7(x + 4) + -6 = 15 Reorder the terms: -7(4 + x) + -6 = 15 (4 * -7 + x * -7) + -6 = 15 (-28 + -7x) + -6 = 15 Reorder the terms: -28 + -6 + -7x = 15 Combine like terms: -28 + -6 = -34 -34 + -7x = 15 Solving -34 + -7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -7x = 15 + 34 Combine like terms: -34 + 34 = 0 0 + -7x = 15 + 34 -7x = 15 + 34 Combine like terms: 15 + 34 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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