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Simplifying 7(5 + -4x) = 60 + -3(5 + -4x) (5 * 7 + -4x * 7) = 60 + -3(5 + -4x) (35 + -28x) = 60 + -3(5 + -4x) 35 + -28x = 60 + (5 * -3 + -4x * -3) 35 + -28x = 60 + (-15 + 12x) Combine like terms: 60 + -15 = 45 35 + -28x = 45 + 12x Solving 35 + -28x = 45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 35 + -28x + -12x = 45 + 12x + -12x Combine like terms: -28x + -12x = -40x 35 + -40x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -40x = 45 + 0 35 + -40x = 45 Add '-35' to each side of the equation. 35 + -35 + -40x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + -40x = 45 + -35 -40x = 45 + -35 Combine like terms: 45 + -35 = 10 -40x = 10 Divide each side by '-40'. x = -0.25 Simplifying x = -0.25
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