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Simplifying 5x + -24 = -6 + -6(x + -8) Reorder the terms: -24 + 5x = -6 + -6(x + -8) Reorder the terms: -24 + 5x = -6 + -6(-8 + x) -24 + 5x = -6 + (-8 * -6 + x * -6) -24 + 5x = -6 + (48 + -6x) Combine like terms: -6 + 48 = 42 -24 + 5x = 42 + -6x Solving -24 + 5x = 42 + -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 + 5x + 6x = 42 + -6x + 6x Combine like terms: 5x + 6x = 11x -24 + 11x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 11x = 42 + 0 -24 + 11x = 42 Add '24' to each side of the equation. -24 + 24 + 11x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 42 + 24 11x = 42 + 24 Combine like terms: 42 + 24 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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