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Simplifying 2(2x + -4) + -3(x + 1) = 9 Reorder the terms: 2(-4 + 2x) + -3(x + 1) = 9 (-4 * 2 + 2x * 2) + -3(x + 1) = 9 (-8 + 4x) + -3(x + 1) = 9 Reorder the terms: -8 + 4x + -3(1 + x) = 9 -8 + 4x + (1 * -3 + x * -3) = 9 -8 + 4x + (-3 + -3x) = 9 Reorder the terms: -8 + -3 + 4x + -3x = 9 Combine like terms: -8 + -3 = -11 -11 + 4x + -3x = 9 Combine like terms: 4x + -3x = 1x -11 + 1x = 9 Solving -11 + 1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 9 + 11 1x = 9 + 11 Combine like terms: 9 + 11 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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