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Simplifying 6(x + 7) = 8(x + 2) Reorder the terms: 6(7 + x) = 8(x + 2) (7 * 6 + x * 6) = 8(x + 2) (42 + 6x) = 8(x + 2) Reorder the terms: 42 + 6x = 8(2 + x) 42 + 6x = (2 * 8 + x * 8) 42 + 6x = (16 + 8x) Solving 42 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 42 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -2x = 16 + 0 42 + -2x = 16 Add '-42' to each side of the equation. 42 + -42 + -2x = 16 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 16 + -42 -2x = 16 + -42 Combine like terms: 16 + -42 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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