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Simplifying 4(x + 2) = -1(x + 4) Reorder the terms: 4(2 + x) = -1(x + 4) (2 * 4 + x * 4) = -1(x + 4) (8 + 4x) = -1(x + 4) Reorder the terms: 8 + 4x = -1(4 + x) 8 + 4x = (4 * -1 + x * -1) 8 + 4x = (-4 + -1x) Solving 8 + 4x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 4x + x = -4 + -1x + x Combine like terms: 4x + x = 5x 8 + 5x = -4 + -1x + x Combine like terms: -1x + x = 0 8 + 5x = -4 + 0 8 + 5x = -4 Add '-8' to each side of the equation. 8 + -8 + 5x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -4 + -8 5x = -4 + -8 Combine like terms: -4 + -8 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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