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Simplifying 38x + -49 + 2(3x + -1) = 7x + -8 Reorder the terms: 38x + -49 + 2(-1 + 3x) = 7x + -8 38x + -49 + (-1 * 2 + 3x * 2) = 7x + -8 38x + -49 + (-2 + 6x) = 7x + -8 Reorder the terms: -49 + -2 + 38x + 6x = 7x + -8 Combine like terms: -49 + -2 = -51 -51 + 38x + 6x = 7x + -8 Combine like terms: 38x + 6x = 44x -51 + 44x = 7x + -8 Reorder the terms: -51 + 44x = -8 + 7x Solving -51 + 44x = -8 + 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. -51 + 44x + -7x = -8 + 7x + -7x Combine like terms: 44x + -7x = 37x -51 + 37x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -51 + 37x = -8 + 0 -51 + 37x = -8 Add '51' to each side of the equation. -51 + 51 + 37x = -8 + 51 Combine like terms: -51 + 51 = 0 0 + 37x = -8 + 51 37x = -8 + 51 Combine like terms: -8 + 51 = 43 37x = 43 Divide each side by '37'. x = 1.162162162 Simplifying x = 1.162162162
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