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Simplifying -5(x + 7) = 3x + 29 Reorder the terms: -5(7 + x) = 3x + 29 (7 * -5 + x * -5) = 3x + 29 (-35 + -5x) = 3x + 29 Reorder the terms: -35 + -5x = 29 + 3x Solving -35 + -5x = 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 + -5x + -3x = 29 + 3x + -3x Combine like terms: -5x + -3x = -8x -35 + -8x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + -8x = 29 + 0 -35 + -8x = 29 Add '35' to each side of the equation. -35 + 35 + -8x = 29 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = 29 + 35 -8x = 29 + 35 Combine like terms: 29 + 35 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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