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Simplifying 4(x + 6) + x = -1(4 + -1x) Reorder the terms: 4(6 + x) + x = -1(4 + -1x) (6 * 4 + x * 4) + x = -1(4 + -1x) (24 + 4x) + x = -1(4 + -1x) Combine like terms: 4x + x = 5x 24 + 5x = -1(4 + -1x) 24 + 5x = (4 * -1 + -1x * -1) 24 + 5x = (-4 + 1x) Solving 24 + 5x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 5x + -1x = -4 + 1x + -1x Combine like terms: 5x + -1x = 4x 24 + 4x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + 4x = -4 + 0 24 + 4x = -4 Add '-24' to each side of the equation. 24 + -24 + 4x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -4 + -24 4x = -4 + -24 Combine like terms: -4 + -24 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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