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Simplifying 42 + -4x = 12 + -7x Solving 42 + -4x = 12 + -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 + -4x + 7x = 12 + -7x + 7x Combine like terms: -4x + 7x = 3x 42 + 3x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 3x = 12 + 0 42 + 3x = 12 Add '-42' to each side of the equation. 42 + -42 + 3x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 12 + -42 3x = 12 + -42 Combine like terms: 12 + -42 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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