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Simplifying 7(3 + -4x) = 5 + -1(4 + x) (3 * 7 + -4x * 7) = 5 + -1(4 + x) (21 + -28x) = 5 + -1(4 + x) 21 + -28x = 5 + (4 * -1 + x * -1) 21 + -28x = 5 + (-4 + -1x) Combine like terms: 5 + -4 = 1 21 + -28x = 1 + -1x Solving 21 + -28x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + -28x + x = 1 + -1x + x Combine like terms: -28x + x = -27x 21 + -27x = 1 + -1x + x Combine like terms: -1x + x = 0 21 + -27x = 1 + 0 21 + -27x = 1 Add '-21' to each side of the equation. 21 + -21 + -27x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -27x = 1 + -21 -27x = 1 + -21 Combine like terms: 1 + -21 = -20 -27x = -20 Divide each side by '-27'. x = 0.7407407407 Simplifying x = 0.7407407407
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