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Simplifying 3x + 10 = 5x + -52 Reorder the terms: 10 + 3x = 5x + -52 Reorder the terms: 10 + 3x = -52 + 5x Solving 10 + 3x = -52 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + -5x = -52 + 5x + -5x Combine like terms: 3x + -5x = -2x 10 + -2x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2x = -52 + 0 10 + -2x = -52 Add '-10' to each side of the equation. 10 + -10 + -2x = -52 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -52 + -10 -2x = -52 + -10 Combine like terms: -52 + -10 = -62 -2x = -62 Divide each side by '-2'. x = 31 Simplifying x = 31
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