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Simplifying -4x + 13x + 5 = 6x + 32 Reorder the terms: 5 + -4x + 13x = 6x + 32 Combine like terms: -4x + 13x = 9x 5 + 9x = 6x + 32 Reorder the terms: 5 + 9x = 32 + 6x Solving 5 + 9x = 32 + 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. 5 + 9x + -6x = 32 + 6x + -6x Combine like terms: 9x + -6x = 3x 5 + 3x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 3x = 32 + 0 5 + 3x = 32 Add '-5' to each side of the equation. 5 + -5 + 3x = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 32 + -5 3x = 32 + -5 Combine like terms: 32 + -5 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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