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Simplifying 6x + 42 = -38 + -4x Reorder the terms: 42 + 6x = -38 + -4x Solving 42 + 6x = -38 + -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 + 6x + 4x = -38 + -4x + 4x Combine like terms: 6x + 4x = 10x 42 + 10x = -38 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + 10x = -38 + 0 42 + 10x = -38 Add '-42' to each side of the equation. 42 + -42 + 10x = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = -38 + -42 10x = -38 + -42 Combine like terms: -38 + -42 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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