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Simplifying 42 = 4x + 51 + -7x Reorder the terms: 42 = 51 + 4x + -7x Combine like terms: 4x + -7x = -3x 42 = 51 + -3x Solving 42 = 51 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 3x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 3x = 51 + 0 42 + 3x = 51 Add '-42' to each side of the equation. 42 + -42 + 3x = 51 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 51 + -42 3x = 51 + -42 Combine like terms: 51 + -42 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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