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Simplifying 2x + 6(x + 6) = 7(x + 4) Reorder the terms: 2x + 6(6 + x) = 7(x + 4) 2x + (6 * 6 + x * 6) = 7(x + 4) 2x + (36 + 6x) = 7(x + 4) Reorder the terms: 36 + 2x + 6x = 7(x + 4) Combine like terms: 2x + 6x = 8x 36 + 8x = 7(x + 4) Reorder the terms: 36 + 8x = 7(4 + x) 36 + 8x = (4 * 7 + x * 7) 36 + 8x = (28 + 7x) Solving 36 + 8x = 28 + 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. 36 + 8x + -7x = 28 + 7x + -7x Combine like terms: 8x + -7x = 1x 36 + 1x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + 1x = 28 + 0 36 + 1x = 28 Add '-36' to each side of the equation. 36 + -36 + 1x = 28 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 28 + -36 1x = 28 + -36 Combine like terms: 28 + -36 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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