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Simplifying 2x + 7(x + -4) = 2(x + -7) Reorder the terms: 2x + 7(-4 + x) = 2(x + -7) 2x + (-4 * 7 + x * 7) = 2(x + -7) 2x + (-28 + 7x) = 2(x + -7) Reorder the terms: -28 + 2x + 7x = 2(x + -7) Combine like terms: 2x + 7x = 9x -28 + 9x = 2(x + -7) Reorder the terms: -28 + 9x = 2(-7 + x) -28 + 9x = (-7 * 2 + x * 2) -28 + 9x = (-14 + 2x) Solving -28 + 9x = -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. -28 + 9x + -2x = -14 + 2x + -2x Combine like terms: 9x + -2x = 7x -28 + 7x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 7x = -14 + 0 -28 + 7x = -14 Add '28' to each side of the equation. -28 + 28 + 7x = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 7x = -14 + 28 7x = -14 + 28 Combine like terms: -14 + 28 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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