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Simplifying 2(2x + -4) + 3(x + 8) = 9 Reorder the terms: 2(-4 + 2x) + 3(x + 8) = 9 (-4 * 2 + 2x * 2) + 3(x + 8) = 9 (-8 + 4x) + 3(x + 8) = 9 Reorder the terms: -8 + 4x + 3(8 + x) = 9 -8 + 4x + (8 * 3 + x * 3) = 9 -8 + 4x + (24 + 3x) = 9 Reorder the terms: -8 + 24 + 4x + 3x = 9 Combine like terms: -8 + 24 = 16 16 + 4x + 3x = 9 Combine like terms: 4x + 3x = 7x 16 + 7x = 9 Solving 16 + 7x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 9 + -16 7x = 9 + -16 Combine like terms: 9 + -16 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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