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Simplifying -7(x + 1) + -15 = 21 + 6 Reorder the terms: -7(1 + x) + -15 = 21 + 6 (1 * -7 + x * -7) + -15 = 21 + 6 (-7 + -7x) + -15 = 21 + 6 Reorder the terms: -7 + -15 + -7x = 21 + 6 Combine like terms: -7 + -15 = -22 -22 + -7x = 21 + 6 Combine like terms: 21 + 6 = 27 -22 + -7x = 27 Solving -22 + -7x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -7x = 27 + 22 Combine like terms: -22 + 22 = 0 0 + -7x = 27 + 22 -7x = 27 + 22 Combine like terms: 27 + 22 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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