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Simplifying -7(2x + -1) + 5(3x + -7) + -7 = 3 + -4 Reorder the terms: -7(-1 + 2x) + 5(3x + -7) + -7 = 3 + -4 (-1 * -7 + 2x * -7) + 5(3x + -7) + -7 = 3 + -4 (7 + -14x) + 5(3x + -7) + -7 = 3 + -4 Reorder the terms: 7 + -14x + 5(-7 + 3x) + -7 = 3 + -4 7 + -14x + (-7 * 5 + 3x * 5) + -7 = 3 + -4 7 + -14x + (-35 + 15x) + -7 = 3 + -4 Reorder the terms: 7 + -35 + -7 + -14x + 15x = 3 + -4 Combine like terms: 7 + -35 = -28 -28 + -7 + -14x + 15x = 3 + -4 Combine like terms: -28 + -7 = -35 -35 + -14x + 15x = 3 + -4 Combine like terms: -14x + 15x = 1x -35 + 1x = 3 + -4 Combine like terms: 3 + -4 = -1 -35 + 1x = -1 Solving -35 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 1x = -1 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -1 + 35 1x = -1 + 35 Combine like terms: -1 + 35 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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