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Simplifying 3(1 + 7x) + -7(1 + 8x) = 66 (1 * 3 + 7x * 3) + -7(1 + 8x) = 66 (3 + 21x) + -7(1 + 8x) = 66 3 + 21x + (1 * -7 + 8x * -7) = 66 3 + 21x + (-7 + -56x) = 66 Reorder the terms: 3 + -7 + 21x + -56x = 66 Combine like terms: 3 + -7 = -4 -4 + 21x + -56x = 66 Combine like terms: 21x + -56x = -35x -4 + -35x = 66 Solving -4 + -35x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -35x = 66 + 4 Combine like terms: -4 + 4 = 0 0 + -35x = 66 + 4 -35x = 66 + 4 Combine like terms: 66 + 4 = 70 -35x = 70 Divide each side by '-35'. x = -2 Simplifying x = -2
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