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Simplifying 40(3x + 4) = 1000 Reorder the terms: 40(4 + 3x) = 1000 (4 * 40 + 3x * 40) = 1000 (160 + 120x) = 1000 Solving 160 + 120x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 120x = 1000 + -160 Combine like terms: 160 + -160 = 0 0 + 120x = 1000 + -160 120x = 1000 + -160 Combine like terms: 1000 + -160 = 840 120x = 840 Divide each side by '120'. x = 7 Simplifying x = 7
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