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Simplifying -4 + 13x + 5 = 6x + 32 Reorder the terms: -4 + 5 + 13x = 6x + 32 Combine like terms: -4 + 5 = 1 1 + 13x = 6x + 32 Reorder the terms: 1 + 13x = 32 + 6x Solving 1 + 13x = 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. 1 + 13x + -6x = 32 + 6x + -6x Combine like terms: 13x + -6x = 7x 1 + 7x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 7x = 32 + 0 1 + 7x = 32 Add '-1' to each side of the equation. 1 + -1 + 7x = 32 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 32 + -1 7x = 32 + -1 Combine like terms: 32 + -1 = 31 7x = 31 Divide each side by '7'. x = 4.428571429 Simplifying x = 4.428571429
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