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Simplifying 7(x + 2) + -2x = 2(x + -7) Reorder the terms: 7(2 + x) + -2x = 2(x + -7) (2 * 7 + x * 7) + -2x = 2(x + -7) (14 + 7x) + -2x = 2(x + -7) Combine like terms: 7x + -2x = 5x 14 + 5x = 2(x + -7) Reorder the terms: 14 + 5x = 2(-7 + x) 14 + 5x = (-7 * 2 + x * 2) 14 + 5x = (-14 + 2x) Solving 14 + 5x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 3x = -14 + 0 14 + 3x = -14 Add '-14' to each side of the equation. 14 + -14 + 3x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -14 + -14 3x = -14 + -14 Combine like terms: -14 + -14 = -28 3x = -28 Divide each side by '3'. x = -9.333333333 Simplifying x = -9.333333333
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