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Simplifying 2(4x + -5) + 9 = -3x + 32 Reorder the terms: 2(-5 + 4x) + 9 = -3x + 32 (-5 * 2 + 4x * 2) + 9 = -3x + 32 (-10 + 8x) + 9 = -3x + 32 Reorder the terms: -10 + 9 + 8x = -3x + 32 Combine like terms: -10 + 9 = -1 -1 + 8x = -3x + 32 Reorder the terms: -1 + 8x = 32 + -3x Solving -1 + 8x = 32 + -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 = 32 + -3x + 3x Combine like terms: 8x + 3x = 11x -1 + 11x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 11x = 32 + 0 -1 + 11x = 32 Add '1' to each side of the equation. -1 + 1 + 11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 32 + 1 11x = 32 + 1 Combine like terms: 32 + 1 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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