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Simplifying 7x + 42 = 4x + 27 Reorder the terms: 42 + 7x = 4x + 27 Reorder the terms: 42 + 7x = 27 + 4x Solving 42 + 7x = 27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + 7x + -4x = 27 + 4x + -4x Combine like terms: 7x + -4x = 3x 42 + 3x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 3x = 27 + 0 42 + 3x = 27 Add '-42' to each side of the equation. 42 + -42 + 3x = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 27 + -42 3x = 27 + -42 Combine like terms: 27 + -42 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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