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Simplifying 10x + -30 + -2 = 5x + -20 + 13 Reorder the terms: -30 + -2 + 10x = 5x + -20 + 13 Combine like terms: -30 + -2 = -32 -32 + 10x = 5x + -20 + 13 Reorder the terms: -32 + 10x = -20 + 13 + 5x Combine like terms: -20 + 13 = -7 -32 + 10x = -7 + 5x Solving -32 + 10x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 10x + -5x = -7 + 5x + -5x Combine like terms: 10x + -5x = 5x -32 + 5x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 5x = -7 + 0 -32 + 5x = -7 Add '32' to each side of the equation. -32 + 32 + 5x = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = -7 + 32 5x = -7 + 32 Combine like terms: -7 + 32 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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