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Simplifying 4x + -10 + 5x + -22 = 3x + 2 Reorder the terms: -10 + -22 + 4x + 5x = 3x + 2 Combine like terms: -10 + -22 = -32 -32 + 4x + 5x = 3x + 2 Combine like terms: 4x + 5x = 9x -32 + 9x = 3x + 2 Reorder the terms: -32 + 9x = 2 + 3x Solving -32 + 9x = 2 + 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. -32 + 9x + -3x = 2 + 3x + -3x Combine like terms: 9x + -3x = 6x -32 + 6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 6x = 2 + 0 -32 + 6x = 2 Add '32' to each side of the equation. -32 + 32 + 6x = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 2 + 32 6x = 2 + 32 Combine like terms: 2 + 32 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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