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Simplifying -38 + 24 = -3x + 10x Combine like terms: -38 + 24 = -14 -14 = -3x + 10x Combine like terms: -3x + 10x = 7x -14 = 7x Solving -14 = 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. -14 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -7x = 0 Add '14' to each side of the equation. -14 + 14 + -7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 0 + 14 -7x = 0 + 14 Combine like terms: 0 + 14 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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