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Simplifying -5(x + 1) = 7x + -29 Reorder the terms: -5(1 + x) = 7x + -29 (1 * -5 + x * -5) = 7x + -29 (-5 + -5x) = 7x + -29 Reorder the terms: -5 + -5x = -29 + 7x Solving -5 + -5x = -29 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + -5x + -7x = -29 + 7x + -7x Combine like terms: -5x + -7x = -12x -5 + -12x = -29 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -12x = -29 + 0 -5 + -12x = -29 Add '5' to each side of the equation. -5 + 5 + -12x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = -29 + 5 -12x = -29 + 5 Combine like terms: -29 + 5 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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