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Simplifying 6(x + 5) = 4(13 + x) Reorder the terms: 6(5 + x) = 4(13 + x) (5 * 6 + x * 6) = 4(13 + x) (30 + 6x) = 4(13 + x) 30 + 6x = (13 * 4 + x * 4) 30 + 6x = (52 + 4x) Solving 30 + 6x = 52 + 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. 30 + 6x + -4x = 52 + 4x + -4x Combine like terms: 6x + -4x = 2x 30 + 2x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 2x = 52 + 0 30 + 2x = 52 Add '-30' to each side of the equation. 30 + -30 + 2x = 52 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 52 + -30 2x = 52 + -30 Combine like terms: 52 + -30 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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