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Simplifying 8(x + -4) = 9x + -5 + -4x Reorder the terms: 8(-4 + x) = 9x + -5 + -4x (-4 * 8 + x * 8) = 9x + -5 + -4x (-32 + 8x) = 9x + -5 + -4x Reorder the terms: -32 + 8x = -5 + 9x + -4x Combine like terms: 9x + -4x = 5x -32 + 8x = -5 + 5x Solving -32 + 8x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 8x + -5x = -5 + 5x + -5x Combine like terms: 8x + -5x = 3x -32 + 3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 3x = -5 + 0 -32 + 3x = -5 Add '32' to each side of the equation. -32 + 32 + 3x = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -5 + 32 3x = -5 + 32 Combine like terms: -5 + 32 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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