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Simplifying 9x + -4 = 2(4x + 5) + -6 Reorder the terms: -4 + 9x = 2(4x + 5) + -6 Reorder the terms: -4 + 9x = 2(5 + 4x) + -6 -4 + 9x = (5 * 2 + 4x * 2) + -6 -4 + 9x = (10 + 8x) + -6 Reorder the terms: -4 + 9x = 10 + -6 + 8x Combine like terms: 10 + -6 = 4 -4 + 9x = 4 + 8x Solving -4 + 9x = 4 + 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. -4 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x -4 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 1x = 4 + 0 -4 + 1x = 4 Add '4' to each side of the equation. -4 + 4 + 1x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 4 + 4 1x = 4 + 4 Combine like terms: 4 + 4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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