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Simplifying 2(-2x + 7) = -7(x + 4) Reorder the terms: 2(7 + -2x) = -7(x + 4) (7 * 2 + -2x * 2) = -7(x + 4) (14 + -4x) = -7(x + 4) Reorder the terms: 14 + -4x = -7(4 + x) 14 + -4x = (4 * -7 + x * -7) 14 + -4x = (-28 + -7x) Solving 14 + -4x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + -4x + 7x = -28 + -7x + 7x Combine like terms: -4x + 7x = 3x 14 + 3x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 3x = -28 + 0 14 + 3x = -28 Add '-14' to each side of the equation. 14 + -14 + 3x = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -28 + -14 3x = -28 + -14 Combine like terms: -28 + -14 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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