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Simplifying 3(7 + -1x) + 5(x + -4) = 9 (7 * 3 + -1x * 3) + 5(x + -4) = 9 (21 + -3x) + 5(x + -4) = 9 Reorder the terms: 21 + -3x + 5(-4 + x) = 9 21 + -3x + (-4 * 5 + x * 5) = 9 21 + -3x + (-20 + 5x) = 9 Reorder the terms: 21 + -20 + -3x + 5x = 9 Combine like terms: 21 + -20 = 1 1 + -3x + 5x = 9 Combine like terms: -3x + 5x = 2x 1 + 2x = 9 Solving 1 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 9 + -1 2x = 9 + -1 Combine like terms: 9 + -1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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