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Simplifying -7x + -29 = -3x + -52 Reorder the terms: -29 + -7x = -3x + -52 Reorder the terms: -29 + -7x = -52 + -3x Solving -29 + -7x = -52 + -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. -29 + -7x + 3x = -52 + -3x + 3x Combine like terms: -7x + 3x = -4x -29 + -4x = -52 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + -4x = -52 + 0 -29 + -4x = -52 Add '29' to each side of the equation. -29 + 29 + -4x = -52 + 29 Combine like terms: -29 + 29 = 0 0 + -4x = -52 + 29 -4x = -52 + 29 Combine like terms: -52 + 29 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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