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Simplifying 5x + -2 = -6(x + 4) Reorder the terms: -2 + 5x = -6(x + 4) Reorder the terms: -2 + 5x = -6(4 + x) -2 + 5x = (4 * -6 + x * -6) -2 + 5x = (-24 + -6x) Solving -2 + 5x = -24 + -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. -2 + 5x + 6x = -24 + -6x + 6x Combine like terms: 5x + 6x = 11x -2 + 11x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 11x = -24 + 0 -2 + 11x = -24 Add '2' to each side of the equation. -2 + 2 + 11x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -24 + 2 11x = -24 + 2 Combine like terms: -24 + 2 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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