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Simplifying 2x + 2 + 5x = -3x + 32 Reorder the terms: 2 + 2x + 5x = -3x + 32 Combine like terms: 2x + 5x = 7x 2 + 7x = -3x + 32 Reorder the terms: 2 + 7x = 32 + -3x Solving 2 + 7x = 32 + -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. 2 + 7x + 3x = 32 + -3x + 3x Combine like terms: 7x + 3x = 10x 2 + 10x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 10x = 32 + 0 2 + 10x = 32 Add '-2' to each side of the equation. 2 + -2 + 10x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 32 + -2 10x = 32 + -2 Combine like terms: 32 + -2 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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