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Simplifying 4(x + 6) = -1(x + 1) Reorder the terms: 4(6 + x) = -1(x + 1) (6 * 4 + x * 4) = -1(x + 1) (24 + 4x) = -1(x + 1) Reorder the terms: 24 + 4x = -1(1 + x) 24 + 4x = (1 * -1 + x * -1) 24 + 4x = (-1 + -1x) Solving 24 + 4x = -1 + -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. 24 + 4x + x = -1 + -1x + x Combine like terms: 4x + x = 5x 24 + 5x = -1 + -1x + x Combine like terms: -1x + x = 0 24 + 5x = -1 + 0 24 + 5x = -1 Add '-24' to each side of the equation. 24 + -24 + 5x = -1 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = -1 + -24 5x = -1 + -24 Combine like terms: -1 + -24 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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