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Simplifying 3x + 42 = 5x + -64 Reorder the terms: 42 + 3x = 5x + -64 Reorder the terms: 42 + 3x = -64 + 5x Solving 42 + 3x = -64 + 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. 42 + 3x + -5x = -64 + 5x + -5x Combine like terms: 3x + -5x = -2x 42 + -2x = -64 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -2x = -64 + 0 42 + -2x = -64 Add '-42' to each side of the equation. 42 + -42 + -2x = -64 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = -64 + -42 -2x = -64 + -42 Combine like terms: -64 + -42 = -106 -2x = -106 Divide each side by '-2'. x = 53 Simplifying x = 53
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