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Simplifying -4(x + 6) = 6(1 + x) Reorder the terms: -4(6 + x) = 6(1 + x) (6 * -4 + x * -4) = 6(1 + x) (-24 + -4x) = 6(1 + x) -24 + -4x = (1 * 6 + x * 6) -24 + -4x = (6 + 6x) Solving -24 + -4x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + -4x + -6x = 6 + 6x + -6x Combine like terms: -4x + -6x = -10x -24 + -10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -10x = 6 + 0 -24 + -10x = 6 Add '24' to each side of the equation. -24 + 24 + -10x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -10x = 6 + 24 -10x = 6 + 24 Combine like terms: 6 + 24 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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