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Simplifying x(3 + 2) + -6(x + -5) + -22 = 6 Combine like terms: 3 + 2 = 5 x(5) + -6(x + -5) + -22 = 6 Reorder the terms for easier multiplication: 5x + -6(x + -5) + -22 = 6 Reorder the terms: 5x + -6(-5 + x) + -22 = 6 5x + (-5 * -6 + x * -6) + -22 = 6 5x + (30 + -6x) + -22 = 6 Reorder the terms: 30 + -22 + 5x + -6x = 6 Combine like terms: 30 + -22 = 8 8 + 5x + -6x = 6 Combine like terms: 5x + -6x = -1x 8 + -1x = 6 Solving 8 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 6 + -8 -1x = 6 + -8 Combine like terms: 6 + -8 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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