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Simplifying 2(-7 + 7x) + -2 = -38 + -8x (-7 * 2 + 7x * 2) + -2 = -38 + -8x (-14 + 14x) + -2 = -38 + -8x Reorder the terms: -14 + -2 + 14x = -38 + -8x Combine like terms: -14 + -2 = -16 -16 + 14x = -38 + -8x Solving -16 + 14x = -38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + 14x + 8x = -38 + -8x + 8x Combine like terms: 14x + 8x = 22x -16 + 22x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 22x = -38 + 0 -16 + 22x = -38 Add '16' to each side of the equation. -16 + 16 + 22x = -38 + 16 Combine like terms: -16 + 16 = 0 0 + 22x = -38 + 16 22x = -38 + 16 Combine like terms: -38 + 16 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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