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Simplifying 5x + -32 = 7x + 14 Reorder the terms: -32 + 5x = 7x + 14 Reorder the terms: -32 + 5x = 14 + 7x Solving -32 + 5x = 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. -32 + 5x + -7x = 14 + 7x + -7x Combine like terms: 5x + -7x = -2x -32 + -2x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + -2x = 14 + 0 -32 + -2x = 14 Add '32' to each side of the equation. -32 + 32 + -2x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 14 + 32 -2x = 14 + 32 Combine like terms: 14 + 32 = 46 -2x = 46 Divide each side by '-2'. x = -23 Simplifying x = -23
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