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Simplifying -3x + -53 = 2x + 52 Reorder the terms: -53 + -3x = 2x + 52 Reorder the terms: -53 + -3x = 52 + 2x Solving -53 + -3x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -53 + -3x + -2x = 52 + 2x + -2x Combine like terms: -3x + -2x = -5x -53 + -5x = 52 + 2x + -2x Combine like terms: 2x + -2x = 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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