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Simplifying 8(x + 7) = 6(2x + 6) Reorder the terms: 8(7 + x) = 6(2x + 6) (7 * 8 + x * 8) = 6(2x + 6) (56 + 8x) = 6(2x + 6) Reorder the terms: 56 + 8x = 6(6 + 2x) 56 + 8x = (6 * 6 + 2x * 6) 56 + 8x = (36 + 12x) Solving 56 + 8x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 56 + 8x + -12x = 36 + 12x + -12x Combine like terms: 8x + -12x = -4x 56 + -4x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 56 + -4x = 36 + 0 56 + -4x = 36 Add '-56' to each side of the equation. 56 + -56 + -4x = 36 + -56 Combine like terms: 56 + -56 = 0 0 + -4x = 36 + -56 -4x = 36 + -56 Combine like terms: 36 + -56 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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