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Simplifying 5x + -8 = -6(x + 5) Reorder the terms: -8 + 5x = -6(x + 5) Reorder the terms: -8 + 5x = -6(5 + x) -8 + 5x = (5 * -6 + x * -6) -8 + 5x = (-30 + -6x) Solving -8 + 5x = -30 + -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. -8 + 5x + 6x = -30 + -6x + 6x Combine like terms: 5x + 6x = 11x -8 + 11x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 11x = -30 + 0 -8 + 11x = -30 Add '8' to each side of the equation. -8 + 8 + 11x = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = -30 + 8 11x = -30 + 8 Combine like terms: -30 + 8 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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