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Simplifying 4x + 6 = -38 + -7x Reorder the terms: 6 + 4x = -38 + -7x Solving 6 + 4x = -38 + -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. 6 + 4x + 7x = -38 + -7x + 7x Combine like terms: 4x + 7x = 11x 6 + 11x = -38 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 11x = -38 + 0 6 + 11x = -38 Add '-6' to each side of the equation. 6 + -6 + 11x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -38 + -6 11x = -38 + -6 Combine like terms: -38 + -6 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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