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Simplifying -7x + -53 = -12x + 52 Reorder the terms: -53 + -7x = -12x + 52 Reorder the terms: -53 + -7x = 52 + -12x Solving -53 + -7x = 52 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -53 + -7x + 12x = 52 + -12x + 12x Combine like terms: -7x + 12x = 5x -53 + 5x = 52 + -12x + 12x Combine like terms: -12x + 12x = 0 -53 + 5x = 52 + 0 -53 + 5x = 52 Add '53' to each side of the equation. -53 + 53 + 5x = 52 + 53 Combine like terms: -53 + 53 = 0 0 + 5x = 52 + 53 5x = 52 + 53 Combine like terms: 52 + 53 = 105 5x = 105 Divide each side by '5'. x = 21 Simplifying x = 21
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