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Simplifying 13x + 6 = 4x + 78 Reorder the terms: 6 + 13x = 4x + 78 Reorder the terms: 6 + 13x = 78 + 4x Solving 6 + 13x = 78 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 13x + -4x = 78 + 4x + -4x Combine like terms: 13x + -4x = 9x 6 + 9x = 78 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 9x = 78 + 0 6 + 9x = 78 Add '-6' to each side of the equation. 6 + -6 + 9x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 78 + -6 9x = 78 + -6 Combine like terms: 78 + -6 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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