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Simplifying 20(7 + -2x) + -3(7x + 12) = -109 (7 * 20 + -2x * 20) + -3(7x + 12) = -109 (140 + -40x) + -3(7x + 12) = -109 Reorder the terms: 140 + -40x + -3(12 + 7x) = -109 140 + -40x + (12 * -3 + 7x * -3) = -109 140 + -40x + (-36 + -21x) = -109 Reorder the terms: 140 + -36 + -40x + -21x = -109 Combine like terms: 140 + -36 = 104 104 + -40x + -21x = -109 Combine like terms: -40x + -21x = -61x 104 + -61x = -109 Solving 104 + -61x = -109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -61x = -109 + -104 Combine like terms: 104 + -104 = 0 0 + -61x = -109 + -104 -61x = -109 + -104 Combine like terms: -109 + -104 = -213 -61x = -213 Divide each side by '-61'. x = 3.491803279 Simplifying x = 3.491803279
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