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Simplifying -7(x + 7) + 5(2x + 1) = 0 Reorder the terms: -7(7 + x) + 5(2x + 1) = 0 (7 * -7 + x * -7) + 5(2x + 1) = 0 (-49 + -7x) + 5(2x + 1) = 0 Reorder the terms: -49 + -7x + 5(1 + 2x) = 0 -49 + -7x + (1 * 5 + 2x * 5) = 0 -49 + -7x + (5 + 10x) = 0 Reorder the terms: -49 + 5 + -7x + 10x = 0 Combine like terms: -49 + 5 = -44 -44 + -7x + 10x = 0 Combine like terms: -7x + 10x = 3x -44 + 3x = 0 Solving -44 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 3x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 3x = 0 + 44 3x = 0 + 44 Combine like terms: 0 + 44 = 44 3x = 44 Divide each side by '3'. x = 14.66666667 Simplifying x = 14.66666667
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