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Simplifying [4x + -6] = [9x + 5] Reorder the terms: [-6 + 4x] = [9x + 5] Remove brackets around [-6 + 4x] -6 + 4x = [9x + 5] Reorder the terms: -6 + 4x = [5 + 9x] Remove brackets around [5 + 9x] -6 + 4x = 5 + 9x Solving -6 + 4x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 4x + -9x = 5 + 9x + -9x Combine like terms: 4x + -9x = -5x -6 + -5x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -5x = 5 + 0 -6 + -5x = 5 Add '6' to each side of the equation. -6 + 6 + -5x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 5 + 6 -5x = 5 + 6 Combine like terms: 5 + 6 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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