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Simplifying -7(x + -1) + 5(2x + 3) = 0 Reorder the terms: -7(-1 + x) + 5(2x + 3) = 0 (-1 * -7 + x * -7) + 5(2x + 3) = 0 (7 + -7x) + 5(2x + 3) = 0 Reorder the terms: 7 + -7x + 5(3 + 2x) = 0 7 + -7x + (3 * 5 + 2x * 5) = 0 7 + -7x + (15 + 10x) = 0 Reorder the terms: 7 + 15 + -7x + 10x = 0 Combine like terms: 7 + 15 = 22 22 + -7x + 10x = 0 Combine like terms: -7x + 10x = 3x 22 + 3x = 0 Solving 22 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 0 + -22 3x = 0 + -22 Combine like terms: 0 + -22 = -22 3x = -22 Divide each side by '3'. x = -7.333333333 Simplifying x = -7.333333333
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