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Simplifying 9 + 8(x + -3) = 9 + -6(x + -5) Reorder the terms: 9 + 8(-3 + x) = 9 + -6(x + -5) 9 + (-3 * 8 + x * 8) = 9 + -6(x + -5) 9 + (-24 + 8x) = 9 + -6(x + -5) Combine like terms: 9 + -24 = -15 -15 + 8x = 9 + -6(x + -5) Reorder the terms: -15 + 8x = 9 + -6(-5 + x) -15 + 8x = 9 + (-5 * -6 + x * -6) -15 + 8x = 9 + (30 + -6x) Combine like terms: 9 + 30 = 39 -15 + 8x = 39 + -6x Solving -15 + 8x = 39 + -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. -15 + 8x + 6x = 39 + -6x + 6x Combine like terms: 8x + 6x = 14x -15 + 14x = 39 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 14x = 39 + 0 -15 + 14x = 39 Add '15' to each side of the equation. -15 + 15 + 14x = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 39 + 15 14x = 39 + 15 Combine like terms: 39 + 15 = 54 14x = 54 Divide each side by '14'. x = 3.857142857 Simplifying x = 3.857142857
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