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Simplifying 8x + 2(2x + -7) + -2(x + 8) = 0 Reorder the terms: 8x + 2(-7 + 2x) + -2(x + 8) = 0 8x + (-7 * 2 + 2x * 2) + -2(x + 8) = 0 8x + (-14 + 4x) + -2(x + 8) = 0 Reorder the terms: 8x + -14 + 4x + -2(8 + x) = 0 8x + -14 + 4x + (8 * -2 + x * -2) = 0 8x + -14 + 4x + (-16 + -2x) = 0 Reorder the terms: -14 + -16 + 8x + 4x + -2x = 0 Combine like terms: -14 + -16 = -30 -30 + 8x + 4x + -2x = 0 Combine like terms: 8x + 4x = 12x -30 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x -30 + 10x = 0 Solving -30 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 10x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 0 + 30 10x = 0 + 30 Combine like terms: 0 + 30 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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