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Simplifying 7x + -24 = 4x + -38 Reorder the terms: -24 + 7x = 4x + -38 Reorder the terms: -24 + 7x = -38 + 4x Solving -24 + 7x = -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. -24 + 7x + -4x = -38 + 4x + -4x Combine like terms: 7x + -4x = 3x -24 + 3x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 3x = -38 + 0 -24 + 3x = -38 Add '24' to each side of the equation. -24 + 24 + 3x = -38 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -38 + 24 3x = -38 + 24 Combine like terms: -38 + 24 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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