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Simplifying 6x + -13 = 3x + 32 Reorder the terms: -13 + 6x = 3x + 32 Reorder the terms: -13 + 6x = 32 + 3x Solving -13 + 6x = 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. -13 + 6x + -3x = 32 + 3x + -3x Combine like terms: 6x + -3x = 3x -13 + 3x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 3x = 32 + 0 -13 + 3x = 32 Add '13' to each side of the equation. -13 + 13 + 3x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 32 + 13 3x = 32 + 13 Combine like terms: 32 + 13 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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