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Simplifying 42 = 3x + 7x + -4x Combine like terms: 3x + 7x = 10x 42 = 10x + -4x Combine like terms: 10x + -4x = 6x 42 = 6x Solving 42 = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 42 + -6x = 0 Add '-42' to each side of the equation. 42 + -42 + -6x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 0 + -42 -6x = 0 + -42 Combine like terms: 0 + -42 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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