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Simplifying 7 + -4(2x + -1) = 5(7 + -4x) Reorder the terms: 7 + -4(-1 + 2x) = 5(7 + -4x) 7 + (-1 * -4 + 2x * -4) = 5(7 + -4x) 7 + (4 + -8x) = 5(7 + -4x) Combine like terms: 7 + 4 = 11 11 + -8x = 5(7 + -4x) 11 + -8x = (7 * 5 + -4x * 5) 11 + -8x = (35 + -20x) Solving 11 + -8x = 35 + -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. 11 + -8x + 20x = 35 + -20x + 20x Combine like terms: -8x + 20x = 12x 11 + 12x = 35 + -20x + 20x Combine like terms: -20x + 20x = 0 11 + 12x = 35 + 0 11 + 12x = 35 Add '-11' to each side of the equation. 11 + -11 + 12x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 35 + -11 12x = 35 + -11 Combine like terms: 35 + -11 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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