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Simplifying -1(4x + 6) + 7(-3 + 7x) = 18 Reorder the terms: -1(6 + 4x) + 7(-3 + 7x) = 18 (6 * -1 + 4x * -1) + 7(-3 + 7x) = 18 (-6 + -4x) + 7(-3 + 7x) = 18 -6 + -4x + (-3 * 7 + 7x * 7) = 18 -6 + -4x + (-21 + 49x) = 18 Reorder the terms: -6 + -21 + -4x + 49x = 18 Combine like terms: -6 + -21 = -27 -27 + -4x + 49x = 18 Combine like terms: -4x + 49x = 45x -27 + 45x = 18 Solving -27 + 45x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 45x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 45x = 18 + 27 45x = 18 + 27 Combine like terms: 18 + 27 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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