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Simplifying 38 + -4x = 7x + -6(6 + 8x) 38 + -4x = 7x + (6 * -6 + 8x * -6) 38 + -4x = 7x + (-36 + -48x) Reorder the terms: 38 + -4x = -36 + 7x + -48x Combine like terms: 7x + -48x = -41x 38 + -4x = -36 + -41x Solving 38 + -4x = -36 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. 38 + -4x + 41x = -36 + -41x + 41x Combine like terms: -4x + 41x = 37x 38 + 37x = -36 + -41x + 41x Combine like terms: -41x + 41x = 0 38 + 37x = -36 + 0 38 + 37x = -36 Add '-38' to each side of the equation. 38 + -38 + 37x = -36 + -38 Combine like terms: 38 + -38 = 0 0 + 37x = -36 + -38 37x = -36 + -38 Combine like terms: -36 + -38 = -74 37x = -74 Divide each side by '37'. x = -2 Simplifying x = -2
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