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Simplifying -1(4x + 7) + (-60) + (-37x) = -38x + (-67) Reorder the terms: -1(7 + 4x) + (-60) + (-37x) = -38x + (-67) (7 * -1 + 4x * -1) + (-60) + (-37x) = -38x + (-67) (-7 + -4x) + (-60) + (-37x) = -38x + (-67) -7 + -4x + -60 + (-37x) = -38x + (-67) Reorder the terms: -7 + -60 + -4x + (-37x) = -38x + (-67) Combine like terms: -7 + -60 = -67 -67 + -4x + (-37x) = -38x + (-67) Combine like terms: -4x + (-37x) = -41x -67 + -41x = -38x + (-67) -67 + -41x = -38x + -67 Reorder the terms: -67 + -41x = -67 + -38x Add '67' to each side of the equation. -67 + 67 + -41x = -67 + 67 + -38x Combine like terms: -67 + 67 = 0 0 + -41x = -67 + 67 + -38x -41x = -67 + 67 + -38x Combine like terms: -67 + 67 = 0 -41x = 0 + -38x -41x = -38x Solving -41x = -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -41x + 38x = -38x + 38x Combine like terms: -41x + 38x = -3x -3x = -38x + 38x Combine like terms: -38x + 38x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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