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Simplifying 5x + 2(7 + -1x) = 9 + -1(4x + 2) 5x + (7 * 2 + -1x * 2) = 9 + -1(4x + 2) 5x + (14 + -2x) = 9 + -1(4x + 2) Reorder the terms: 14 + 5x + -2x = 9 + -1(4x + 2) Combine like terms: 5x + -2x = 3x 14 + 3x = 9 + -1(4x + 2) Reorder the terms: 14 + 3x = 9 + -1(2 + 4x) 14 + 3x = 9 + (2 * -1 + 4x * -1) 14 + 3x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 14 + 3x = 7 + -4x Solving 14 + 3x = 7 + -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 + 3x + 4x = 7 + -4x + 4x Combine like terms: 3x + 4x = 7x 14 + 7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 7x = 7 + 0 14 + 7x = 7 Add '-14' to each side of the equation. 14 + -14 + 7x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 7 + -14 7x = 7 + -14 Combine like terms: 7 + -14 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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