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Simplifying 2x + -4(5 + -6x) = 7(1 + 5x) 2x + (5 * -4 + -6x * -4) = 7(1 + 5x) 2x + (-20 + 24x) = 7(1 + 5x) Reorder the terms: -20 + 2x + 24x = 7(1 + 5x) Combine like terms: 2x + 24x = 26x -20 + 26x = 7(1 + 5x) -20 + 26x = (1 * 7 + 5x * 7) -20 + 26x = (7 + 35x) Solving -20 + 26x = 7 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -20 + 26x + -35x = 7 + 35x + -35x Combine like terms: 26x + -35x = -9x -20 + -9x = 7 + 35x + -35x Combine like terms: 35x + -35x = 0 -20 + -9x = 7 + 0 -20 + -9x = 7 Add '20' to each side of the equation. -20 + 20 + -9x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = 7 + 20 -9x = 7 + 20 Combine like terms: 7 + 20 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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