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Simplifying 2(2x + -8) = 9(x + 1) Reorder the terms: 2(-8 + 2x) = 9(x + 1) (-8 * 2 + 2x * 2) = 9(x + 1) (-16 + 4x) = 9(x + 1) Reorder the terms: -16 + 4x = 9(1 + x) -16 + 4x = (1 * 9 + x * 9) -16 + 4x = (9 + 9x) Solving -16 + 4x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 4x + -9x = 9 + 9x + -9x Combine like terms: 4x + -9x = -5x -16 + -5x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -5x = 9 + 0 -16 + -5x = 9 Add '16' to each side of the equation. -16 + 16 + -5x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 9 + 16 -5x = 9 + 16 Combine like terms: 9 + 16 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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