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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 = 7 -8 + 4x = 7 + -2x Solving -8 + 4x = 7 + -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 = 7 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 7 + 0 -8 + 6x = 7 Add '8' to each side of the equation. -8 + 8 + 6x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 7 + 8 6x = 7 + 8 Combine like terms: 7 + 8 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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