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Simplifying 9x + -8 = 2(4x + 5) + -2 Reorder the terms: -8 + 9x = 2(4x + 5) + -2 Reorder the terms: -8 + 9x = 2(5 + 4x) + -2 -8 + 9x = (5 * 2 + 4x * 2) + -2 -8 + 9x = (10 + 8x) + -2 Reorder the terms: -8 + 9x = 10 + -2 + 8x Combine like terms: 10 + -2 = 8 -8 + 9x = 8 + 8x Solving -8 + 9x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 9x + -8x = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x -8 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 1x = 8 + 0 -8 + 1x = 8 Add '8' to each side of the equation. -8 + 8 + 1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 8 + 8 1x = 8 + 8 Combine like terms: 8 + 8 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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