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Simplifying 6x + -13 = x + 32 Reorder the terms: -13 + 6x = x + 32 Reorder the terms: -13 + 6x = 32 + x Solving -13 + 6x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 6x + -1x = 32 + x + -1x Combine like terms: 6x + -1x = 5x -13 + 5x = 32 + x + -1x Combine like terms: x + -1x = 0 -13 + 5x = 32 + 0 -13 + 5x = 32 Add '13' to each side of the equation. -13 + 13 + 5x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 32 + 13 5x = 32 + 13 Combine like terms: 32 + 13 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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