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Simplifying -7x + 7(x + -5) = -29 + -3x Reorder the terms: -7x + 7(-5 + x) = -29 + -3x -7x + (-5 * 7 + x * 7) = -29 + -3x -7x + (-35 + 7x) = -29 + -3x Reorder the terms: -35 + -7x + 7x = -29 + -3x Combine like terms: -7x + 7x = 0 -35 + 0 = -29 + -3x -35 = -29 + -3x Solving -35 = -29 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -35 + 3x = -29 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + 3x = -29 + 0 -35 + 3x = -29 Add '35' to each side of the equation. -35 + 35 + 3x = -29 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -29 + 35 3x = -29 + 35 Combine like terms: -29 + 35 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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