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Simplifying 2(2x + -4) = 9 + -3(x + 1) Reorder the terms: 2(-4 + 2x) = 9 + -3(x + 1) (-4 * 2 + 2x * 2) = 9 + -3(x + 1) (-8 + 4x) = 9 + -3(x + 1) Reorder the terms: -8 + 4x = 9 + -3(1 + x) -8 + 4x = 9 + (1 * -3 + x * -3) -8 + 4x = 9 + (-3 + -3x) Combine like terms: 9 + -3 = 6 -8 + 4x = 6 + -3x Solving -8 + 4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 4x + 3x = 6 + -3x + 3x Combine like terms: 4x + 3x = 7x -8 + 7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 7x = 6 + 0 -8 + 7x = 6 Add '8' to each side of the equation. -8 + 8 + 7x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 6 + 8 7x = 6 + 8 Combine like terms: 6 + 8 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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