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Simplifying 2(4x + -5) + 2x + 1 = -109 Reorder the terms: 2(-5 + 4x) + 2x + 1 = -109 (-5 * 2 + 4x * 2) + 2x + 1 = -109 (-10 + 8x) + 2x + 1 = -109 Reorder the terms: -10 + 1 + 8x + 2x = -109 Combine like terms: -10 + 1 = -9 -9 + 8x + 2x = -109 Combine like terms: 8x + 2x = 10x -9 + 10x = -109 Solving -9 + 10x = -109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10x = -109 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = -109 + 9 10x = -109 + 9 Combine like terms: -109 + 9 = -100 10x = -100 Divide each side by '10'. x = -10 Simplifying x = -10
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