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Simplifying 2(5x + -1) + 3x = -22 + 3x Reorder the terms: 2(-1 + 5x) + 3x = -22 + 3x (-1 * 2 + 5x * 2) + 3x = -22 + 3x (-2 + 10x) + 3x = -22 + 3x Combine like terms: 10x + 3x = 13x -2 + 13x = -22 + 3x Solving -2 + 13x = -22 + 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. -2 + 13x + -3x = -22 + 3x + -3x Combine like terms: 13x + -3x = 10x -2 + 10x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 10x = -22 + 0 -2 + 10x = -22 Add '2' to each side of the equation. -2 + 2 + 10x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -22 + 2 10x = -22 + 2 Combine like terms: -22 + 2 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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