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Simplifying 10x + 32 = -20 + 6x Reorder the terms: 32 + 10x = -20 + 6x Solving 32 + 10x = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + 10x + -6x = -20 + 6x + -6x Combine like terms: 10x + -6x = 4x 32 + 4x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 4x = -20 + 0 32 + 4x = -20 Add '-32' to each side of the equation. 32 + -32 + 4x = -20 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = -20 + -32 4x = -20 + -32 Combine like terms: -20 + -32 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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