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Simplifying 8(x + -4) + -9 = 6x + 9 Reorder the terms: 8(-4 + x) + -9 = 6x + 9 (-4 * 8 + x * 8) + -9 = 6x + 9 (-32 + 8x) + -9 = 6x + 9 Reorder the terms: -32 + -9 + 8x = 6x + 9 Combine like terms: -32 + -9 = -41 -41 + 8x = 6x + 9 Reorder the terms: -41 + 8x = 9 + 6x Solving -41 + 8x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -41 + 8x + -6x = 9 + 6x + -6x Combine like terms: 8x + -6x = 2x -41 + 2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -41 + 2x = 9 + 0 -41 + 2x = 9 Add '41' to each side of the equation. -41 + 41 + 2x = 9 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = 9 + 41 2x = 9 + 41 Combine like terms: 9 + 41 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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