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Simplifying -2(x + 7) + 8 = 4x + 8 + -8x Reorder the terms: -2(7 + x) + 8 = 4x + 8 + -8x (7 * -2 + x * -2) + 8 = 4x + 8 + -8x (-14 + -2x) + 8 = 4x + 8 + -8x Reorder the terms: -14 + 8 + -2x = 4x + 8 + -8x Combine like terms: -14 + 8 = -6 -6 + -2x = 4x + 8 + -8x Reorder the terms: -6 + -2x = 8 + 4x + -8x Combine like terms: 4x + -8x = -4x -6 + -2x = 8 + -4x Solving -6 + -2x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -2x + 4x = 8 + -4x + 4x Combine like terms: -2x + 4x = 2x -6 + 2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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