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Simplifying 7x + -38 = 2x + 32 Reorder the terms: -38 + 7x = 2x + 32 Reorder the terms: -38 + 7x = 32 + 2x Solving -38 + 7x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 7x + -2x = 32 + 2x + -2x Combine like terms: 7x + -2x = 5x -38 + 5x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 5x = 32 + 0 -38 + 5x = 32 Add '38' to each side of the equation. -38 + 38 + 5x = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 32 + 38 5x = 32 + 38 Combine like terms: 32 + 38 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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