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Simplifying 13(x + 6) = 4(x + 222) Reorder the terms: 13(6 + x) = 4(x + 222) (6 * 13 + x * 13) = 4(x + 222) (78 + 13x) = 4(x + 222) Reorder the terms: 78 + 13x = 4(222 + x) 78 + 13x = (222 * 4 + x * 4) 78 + 13x = (888 + 4x) Solving 78 + 13x = 888 + 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. 78 + 13x + -4x = 888 + 4x + -4x Combine like terms: 13x + -4x = 9x 78 + 9x = 888 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + 9x = 888 + 0 78 + 9x = 888 Add '-78' to each side of the equation. 78 + -78 + 9x = 888 + -78 Combine like terms: 78 + -78 = 0 0 + 9x = 888 + -78 9x = 888 + -78 Combine like terms: 888 + -78 = 810 9x = 810 Divide each side by '9'. x = 90 Simplifying x = 90
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