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Simplifying 7x + -32 = 2x + x + 40 Reorder the terms: -32 + 7x = 2x + x + 40 Reorder the terms: -32 + 7x = 40 + 2x + x Combine like terms: 2x + x = 3x -32 + 7x = 40 + 3x Solving -32 + 7x = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + 7x + -3x = 40 + 3x + -3x Combine like terms: 7x + -3x = 4x -32 + 4x = 40 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 4x = 40 + 0 -32 + 4x = 40 Add '32' to each side of the equation. -32 + 32 + 4x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 40 + 32 4x = 40 + 32 Combine like terms: 40 + 32 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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