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Simplifying 4(2x + -9) + 2(x + 4) = 2 Reorder the terms: 4(-9 + 2x) + 2(x + 4) = 2 (-9 * 4 + 2x * 4) + 2(x + 4) = 2 (-36 + 8x) + 2(x + 4) = 2 Reorder the terms: -36 + 8x + 2(4 + x) = 2 -36 + 8x + (4 * 2 + x * 2) = 2 -36 + 8x + (8 + 2x) = 2 Reorder the terms: -36 + 8 + 8x + 2x = 2 Combine like terms: -36 + 8 = -28 -28 + 8x + 2x = 2 Combine like terms: 8x + 2x = 10x -28 + 10x = 2 Solving -28 + 10x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 10x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 2 + 28 10x = 2 + 28 Combine like terms: 2 + 28 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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