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Simplifying -1(7 + -4x) = 2x + 15 (7 * -1 + -4x * -1) = 2x + 15 (-7 + 4x) = 2x + 15 Reorder the terms: -7 + 4x = 15 + 2x Solving -7 + 4x = 15 + 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. -7 + 4x + -2x = 15 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = 15 + 0 -7 + 2x = 15 Add '7' to each side of the equation. -7 + 7 + 2x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 15 + 7 2x = 15 + 7 Combine like terms: 15 + 7 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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