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Simplifying 7(x + 3) + -1(4x + -9) = 8 Reorder the terms: 7(3 + x) + -1(4x + -9) = 8 (3 * 7 + x * 7) + -1(4x + -9) = 8 (21 + 7x) + -1(4x + -9) = 8 Reorder the terms: 21 + 7x + -1(-9 + 4x) = 8 21 + 7x + (-9 * -1 + 4x * -1) = 8 21 + 7x + (9 + -4x) = 8 Reorder the terms: 21 + 9 + 7x + -4x = 8 Combine like terms: 21 + 9 = 30 30 + 7x + -4x = 8 Combine like terms: 7x + -4x = 3x 30 + 3x = 8 Solving 30 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 8 + -30 3x = 8 + -30 Combine like terms: 8 + -30 = -22 3x = -22 Divide each side by '3'. x = -7.333333333 Simplifying x = -7.333333333
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