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Simplifying 2(1 + -5x) + -3(7x + 1) = 2(5 + 2x) + -9 (1 * 2 + -5x * 2) + -3(7x + 1) = 2(5 + 2x) + -9 (2 + -10x) + -3(7x + 1) = 2(5 + 2x) + -9 Reorder the terms: 2 + -10x + -3(1 + 7x) = 2(5 + 2x) + -9 2 + -10x + (1 * -3 + 7x * -3) = 2(5 + 2x) + -9 2 + -10x + (-3 + -21x) = 2(5 + 2x) + -9 Reorder the terms: 2 + -3 + -10x + -21x = 2(5 + 2x) + -9 Combine like terms: 2 + -3 = -1 -1 + -10x + -21x = 2(5 + 2x) + -9 Combine like terms: -10x + -21x = -31x -1 + -31x = 2(5 + 2x) + -9 -1 + -31x = (5 * 2 + 2x * 2) + -9 -1 + -31x = (10 + 4x) + -9 Reorder the terms: -1 + -31x = 10 + -9 + 4x Combine like terms: 10 + -9 = 1 -1 + -31x = 1 + 4x Solving -1 + -31x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -31x + -4x = 1 + 4x + -4x Combine like terms: -31x + -4x = -35x -1 + -35x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -35x = 1 + 0 -1 + -35x = 1 Add '1' to each side of the equation. -1 + 1 + -35x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -35x = 1 + 1 -35x = 1 + 1 Combine like terms: 1 + 1 = 2 -35x = 2 Divide each side by '-35'. x = -0.05714285714 Simplifying x = -0.05714285714
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