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Simplifying 4(2x + -1) = 9 + -5x Reorder the terms: 4(-1 + 2x) = 9 + -5x (-1 * 4 + 2x * 4) = 9 + -5x (-4 + 8x) = 9 + -5x Solving -4 + 8x = 9 + -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. -4 + 8x + 5x = 9 + -5x + 5x Combine like terms: 8x + 5x = 13x -4 + 13x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 13x = 9 + 0 -4 + 13x = 9 Add '4' to each side of the equation. -4 + 4 + 13x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 9 + 4 13x = 9 + 4 Combine like terms: 9 + 4 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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