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Simplifying -7(x + 6) + (2x + 1) = 0 Reorder the terms: -7(6 + x) + (2x + 1) = 0 (6 * -7 + x * -7) + (2x + 1) = 0 (-42 + -7x) + (2x + 1) = 0 Reorder the terms: -42 + -7x + (1 + 2x) = 0 Remove parenthesis around (1 + 2x) -42 + -7x + 1 + 2x = 0 Reorder the terms: -42 + 1 + -7x + 2x = 0 Combine like terms: -42 + 1 = -41 -41 + -7x + 2x = 0 Combine like terms: -7x + 2x = -5x -41 + -5x = 0 Solving -41 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -5x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -5x = 0 + 41 -5x = 0 + 41 Combine like terms: 0 + 41 = 41 -5x = 41 Divide each side by '-5'. x = -8.2 Simplifying x = -8.2
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