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Simplifying 5(3 + -4x) = 7 + -1(4 + -1x) (3 * 5 + -4x * 5) = 7 + -1(4 + -1x) (15 + -20x) = 7 + -1(4 + -1x) 15 + -20x = 7 + (4 * -1 + -1x * -1) 15 + -20x = 7 + (-4 + 1x) Combine like terms: 7 + -4 = 3 15 + -20x = 3 + 1x Solving 15 + -20x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -20x + -1x = 3 + 1x + -1x Combine like terms: -20x + -1x = -21x 15 + -21x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -21x = 3 + 0 15 + -21x = 3 Add '-15' to each side of the equation. 15 + -15 + -21x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = 3 + -15 -21x = 3 + -15 Combine like terms: 3 + -15 = -12 -21x = -12 Divide each side by '-21'. x = 0.5714285714 Simplifying x = 0.5714285714
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