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Simplifying 2x + 7(x + -7) = 2(x + -14) Reorder the terms: 2x + 7(-7 + x) = 2(x + -14) 2x + (-7 * 7 + x * 7) = 2(x + -14) 2x + (-49 + 7x) = 2(x + -14) Reorder the terms: -49 + 2x + 7x = 2(x + -14) Combine like terms: 2x + 7x = 9x -49 + 9x = 2(x + -14) Reorder the terms: -49 + 9x = 2(-14 + x) -49 + 9x = (-14 * 2 + x * 2) -49 + 9x = (-28 + 2x) Solving -49 + 9x = -28 + 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. -49 + 9x + -2x = -28 + 2x + -2x Combine like terms: 9x + -2x = 7x -49 + 7x = -28 + 2x + -2x Combine like terms: 2x + -2x = 0 -49 + 7x = -28 + 0 -49 + 7x = -28 Add '49' to each side of the equation. -49 + 49 + 7x = -28 + 49 Combine like terms: -49 + 49 = 0 0 + 7x = -28 + 49 7x = -28 + 49 Combine like terms: -28 + 49 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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