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Simplifying 13x + -22 = 2(9x + 10) Reorder the terms: -22 + 13x = 2(9x + 10) Reorder the terms: -22 + 13x = 2(10 + 9x) -22 + 13x = (10 * 2 + 9x * 2) -22 + 13x = (20 + 18x) Solving -22 + 13x = 20 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -22 + 13x + -18x = 20 + 18x + -18x Combine like terms: 13x + -18x = -5x -22 + -5x = 20 + 18x + -18x Combine like terms: 18x + -18x = 0 -22 + -5x = 20 + 0 -22 + -5x = 20 Add '22' to each side of the equation. -22 + 22 + -5x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = 20 + 22 -5x = 20 + 22 Combine like terms: 20 + 22 = 42 -5x = 42 Divide each side by '-5'. x = -8.4 Simplifying x = -8.4
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