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Simplifying -2(7x + -1) + 3(5x + -5) + -8 = 2 + -7 Reorder the terms: -2(-1 + 7x) + 3(5x + -5) + -8 = 2 + -7 (-1 * -2 + 7x * -2) + 3(5x + -5) + -8 = 2 + -7 (2 + -14x) + 3(5x + -5) + -8 = 2 + -7 Reorder the terms: 2 + -14x + 3(-5 + 5x) + -8 = 2 + -7 2 + -14x + (-5 * 3 + 5x * 3) + -8 = 2 + -7 2 + -14x + (-15 + 15x) + -8 = 2 + -7 Reorder the terms: 2 + -15 + -8 + -14x + 15x = 2 + -7 Combine like terms: 2 + -15 = -13 -13 + -8 + -14x + 15x = 2 + -7 Combine like terms: -13 + -8 = -21 -21 + -14x + 15x = 2 + -7 Combine like terms: -14x + 15x = 1x -21 + 1x = 2 + -7 Combine like terms: 2 + -7 = -5 -21 + 1x = -5 Solving -21 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1x = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -5 + 21 1x = -5 + 21 Combine like terms: -5 + 21 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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