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Simplifying 13x + 4 = 6x + 13 + 75 Reorder the terms: 4 + 13x = 6x + 13 + 75 Reorder the terms: 4 + 13x = 13 + 75 + 6x Combine like terms: 13 + 75 = 88 4 + 13x = 88 + 6x Solving 4 + 13x = 88 + 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. 4 + 13x + -6x = 88 + 6x + -6x Combine like terms: 13x + -6x = 7x 4 + 7x = 88 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 7x = 88 + 0 4 + 7x = 88 Add '-4' to each side of the equation. 4 + -4 + 7x = 88 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 88 + -4 7x = 88 + -4 Combine like terms: 88 + -4 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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