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Simplifying 13x + 6 = 4(x + 6) Reorder the terms: 6 + 13x = 4(x + 6) Reorder the terms: 6 + 13x = 4(6 + x) 6 + 13x = (6 * 4 + x * 4) 6 + 13x = (24 + 4x) Solving 6 + 13x = 24 + 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 = 24 + 4x + -4x Combine like terms: 13x + -4x = 9x 6 + 9x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 9x = 24 + 0 6 + 9x = 24 Add '-6' to each side of the equation. 6 + -6 + 9x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 24 + -6 9x = 24 + -6 Combine like terms: 24 + -6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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