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Simplifying 3x + -2(4x + 9) + 4(x + 2) = -20 Reorder the terms: 3x + -2(9 + 4x) + 4(x + 2) = -20 3x + (9 * -2 + 4x * -2) + 4(x + 2) = -20 3x + (-18 + -8x) + 4(x + 2) = -20 Reorder the terms: 3x + -18 + -8x + 4(2 + x) = -20 3x + -18 + -8x + (2 * 4 + x * 4) = -20 3x + -18 + -8x + (8 + 4x) = -20 Reorder the terms: -18 + 8 + 3x + -8x + 4x = -20 Combine like terms: -18 + 8 = -10 -10 + 3x + -8x + 4x = -20 Combine like terms: 3x + -8x = -5x -10 + -5x + 4x = -20 Combine like terms: -5x + 4x = -1x -10 + -1x = -20 Solving -10 + -1x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -20 + 10 -1x = -20 + 10 Combine like terms: -20 + 10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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