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Simplifying -7(x + 1) + -15 = 35 + 6 Reorder the terms: -7(1 + x) + -15 = 35 + 6 (1 * -7 + x * -7) + -15 = 35 + 6 (-7 + -7x) + -15 = 35 + 6 Reorder the terms: -7 + -15 + -7x = 35 + 6 Combine like terms: -7 + -15 = -22 -22 + -7x = 35 + 6 Combine like terms: 35 + 6 = 41 -22 + -7x = 41 Solving -22 + -7x = 41 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 = 41 + 22 Combine like terms: -22 + 22 = 0 0 + -7x = 41 + 22 -7x = 41 + 22 Combine like terms: 41 + 22 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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