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Simplifying 3x + 2(5x + 7) = 4x + -22 Reorder the terms: 3x + 2(7 + 5x) = 4x + -22 3x + (7 * 2 + 5x * 2) = 4x + -22 3x + (14 + 10x) = 4x + -22 Reorder the terms: 14 + 3x + 10x = 4x + -22 Combine like terms: 3x + 10x = 13x 14 + 13x = 4x + -22 Reorder the terms: 14 + 13x = -22 + 4x Solving 14 + 13x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 13x + -4x = -22 + 4x + -4x Combine like terms: 13x + -4x = 9x 14 + 9x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 9x = -22 + 0 14 + 9x = -22 Add '-14' to each side of the equation. 14 + -14 + 9x = -22 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = -22 + -14 9x = -22 + -14 Combine like terms: -22 + -14 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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