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Simplifying 3x + 42 = 5x + -34 + 2x Reorder the terms: 42 + 3x = 5x + -34 + 2x Reorder the terms: 42 + 3x = -34 + 5x + 2x Combine like terms: 5x + 2x = 7x 42 + 3x = -34 + 7x Solving 42 + 3x = -34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 3x + -7x = -34 + 7x + -7x Combine like terms: 3x + -7x = -4x 42 + -4x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -4x = -34 + 0 42 + -4x = -34 Add '-42' to each side of the equation. 42 + -42 + -4x = -34 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -34 + -42 -4x = -34 + -42 Combine like terms: -34 + -42 = -76 -4x = -76 Divide each side by '-4'. x = 19 Simplifying x = 19
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