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Simplifying 6x + 2(x + 4) = 7(x + 11) Reorder the terms: 6x + 2(4 + x) = 7(x + 11) 6x + (4 * 2 + x * 2) = 7(x + 11) 6x + (8 + 2x) = 7(x + 11) Reorder the terms: 8 + 6x + 2x = 7(x + 11) Combine like terms: 6x + 2x = 8x 8 + 8x = 7(x + 11) Reorder the terms: 8 + 8x = 7(11 + x) 8 + 8x = (11 * 7 + x * 7) 8 + 8x = (77 + 7x) Solving 8 + 8x = 77 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 8x + -7x = 77 + 7x + -7x Combine like terms: 8x + -7x = 1x 8 + 1x = 77 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 1x = 77 + 0 8 + 1x = 77 Add '-8' to each side of the equation. 8 + -8 + 1x = 77 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 77 + -8 1x = 77 + -8 Combine like terms: 77 + -8 = 69 1x = 69 Divide each side by '1'. x = 69 Simplifying x = 69
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