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Simplifying 6(x + 3) + x = 4(x + 5) + 4 Reorder the terms: 6(3 + x) + x = 4(x + 5) + 4 (3 * 6 + x * 6) + x = 4(x + 5) + 4 (18 + 6x) + x = 4(x + 5) + 4 Combine like terms: 6x + x = 7x 18 + 7x = 4(x + 5) + 4 Reorder the terms: 18 + 7x = 4(5 + x) + 4 18 + 7x = (5 * 4 + x * 4) + 4 18 + 7x = (20 + 4x) + 4 Reorder the terms: 18 + 7x = 20 + 4 + 4x Combine like terms: 20 + 4 = 24 18 + 7x = 24 + 4x Solving 18 + 7x = 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. 18 + 7x + -4x = 24 + 4x + -4x Combine like terms: 7x + -4x = 3x 18 + 3x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 3x = 24 + 0 18 + 3x = 24 Add '-18' to each side of the equation. 18 + -18 + 3x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 24 + -18 3x = 24 + -18 Combine like terms: 24 + -18 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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