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Simplifying 2(2x + -4) = 9 + -2(x + -1) Reorder the terms: 2(-4 + 2x) = 9 + -2(x + -1) (-4 * 2 + 2x * 2) = 9 + -2(x + -1) (-8 + 4x) = 9 + -2(x + -1) Reorder the terms: -8 + 4x = 9 + -2(-1 + x) -8 + 4x = 9 + (-1 * -2 + x * -2) -8 + 4x = 9 + (2 + -2x) Combine like terms: 9 + 2 = 11 -8 + 4x = 11 + -2x Solving -8 + 4x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 4x + 2x = 11 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 11 + 0 -8 + 6x = 11 Add '8' to each side of the equation. -8 + 8 + 6x = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 11 + 8 6x = 11 + 8 Combine like terms: 11 + 8 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667
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