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Simplifying 4(x + -6) = -7(x + 4) Reorder the terms: 4(-6 + x) = -7(x + 4) (-6 * 4 + x * 4) = -7(x + 4) (-24 + 4x) = -7(x + 4) Reorder the terms: -24 + 4x = -7(4 + x) -24 + 4x = (4 * -7 + x * -7) -24 + 4x = (-28 + -7x) Solving -24 + 4x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -24 + 4x + 7x = -28 + -7x + 7x Combine like terms: 4x + 7x = 11x -24 + 11x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 11x = -28 + 0 -24 + 11x = -28 Add '24' to each side of the equation. -24 + 24 + 11x = -28 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = -28 + 24 11x = -28 + 24 Combine like terms: -28 + 24 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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