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Simplifying 2(x + 4) = -1(3x + 7) Reorder the terms: 2(4 + x) = -1(3x + 7) (4 * 2 + x * 2) = -1(3x + 7) (8 + 2x) = -1(3x + 7) Reorder the terms: 8 + 2x = -1(7 + 3x) 8 + 2x = (7 * -1 + 3x * -1) 8 + 2x = (-7 + -3x) Solving 8 + 2x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 2x + 3x = -7 + -3x + 3x Combine like terms: 2x + 3x = 5x 8 + 5x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 5x = -7 + 0 8 + 5x = -7 Add '-8' to each side of the equation. 8 + -8 + 5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -7 + -8 5x = -7 + -8 Combine like terms: -7 + -8 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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