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Simplifying -5x + 14 + -2x = 9 + -1(4x + 2) Reorder the terms: 14 + -5x + -2x = 9 + -1(4x + 2) Combine like terms: -5x + -2x = -7x 14 + -7x = 9 + -1(4x + 2) Reorder the terms: 14 + -7x = 9 + -1(2 + 4x) 14 + -7x = 9 + (2 * -1 + 4x * -1) 14 + -7x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 14 + -7x = 7 + -4x Solving 14 + -7x = 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 + -7x + 4x = 7 + -4x + 4x Combine like terms: -7x + 4x = -3x 14 + -3x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + -3x = 7 + 0 14 + -3x = 7 Add '-14' to each side of the equation. 14 + -14 + -3x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 7 + -14 -3x = 7 + -14 Combine like terms: 7 + -14 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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