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Simplifying 2(4x + -5) + 9 = 3x + 4 Reorder the terms: 2(-5 + 4x) + 9 = 3x + 4 (-5 * 2 + 4x * 2) + 9 = 3x + 4 (-10 + 8x) + 9 = 3x + 4 Reorder the terms: -10 + 9 + 8x = 3x + 4 Combine like terms: -10 + 9 = -1 -1 + 8x = 3x + 4 Reorder the terms: -1 + 8x = 4 + 3x Solving -1 + 8x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 8x + -3x = 4 + 3x + -3x Combine like terms: 8x + -3x = 5x -1 + 5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 5x = 4 + 0 -1 + 5x = 4 Add '1' to each side of the equation. -1 + 1 + 5x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 4 + 1 5x = 4 + 1 Combine like terms: 4 + 1 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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