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Simplifying 7(1 + -3x) = 5(2 + -4x) (1 * 7 + -3x * 7) = 5(2 + -4x) (7 + -21x) = 5(2 + -4x) 7 + -21x = (2 * 5 + -4x * 5) 7 + -21x = (10 + -20x) Solving 7 + -21x = 10 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 7 + -21x + 20x = 10 + -20x + 20x Combine like terms: -21x + 20x = -1x 7 + -1x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 7 + -1x = 10 + 0 7 + -1x = 10 Add '-7' to each side of the equation. 7 + -7 + -1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 10 + -7 -1x = 10 + -7 Combine like terms: 10 + -7 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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