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Simplifying 8x + -5 = -6(x + 4) + -9 Reorder the terms: -5 + 8x = -6(x + 4) + -9 Reorder the terms: -5 + 8x = -6(4 + x) + -9 -5 + 8x = (4 * -6 + x * -6) + -9 -5 + 8x = (-24 + -6x) + -9 Reorder the terms: -5 + 8x = -24 + -9 + -6x Combine like terms: -24 + -9 = -33 -5 + 8x = -33 + -6x Solving -5 + 8x = -33 + -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. -5 + 8x + 6x = -33 + -6x + 6x Combine like terms: 8x + 6x = 14x -5 + 14x = -33 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 14x = -33 + 0 -5 + 14x = -33 Add '5' to each side of the equation. -5 + 5 + 14x = -33 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = -33 + 5 14x = -33 + 5 Combine like terms: -33 + 5 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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