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Simplifying 2 + 6(x + -9) = 10 + -8(x + -5) Reorder the terms: 2 + 6(-9 + x) = 10 + -8(x + -5) 2 + (-9 * 6 + x * 6) = 10 + -8(x + -5) 2 + (-54 + 6x) = 10 + -8(x + -5) Combine like terms: 2 + -54 = -52 -52 + 6x = 10 + -8(x + -5) Reorder the terms: -52 + 6x = 10 + -8(-5 + x) -52 + 6x = 10 + (-5 * -8 + x * -8) -52 + 6x = 10 + (40 + -8x) Combine like terms: 10 + 40 = 50 -52 + 6x = 50 + -8x Solving -52 + 6x = 50 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -52 + 6x + 8x = 50 + -8x + 8x Combine like terms: 6x + 8x = 14x -52 + 14x = 50 + -8x + 8x Combine like terms: -8x + 8x = 0 -52 + 14x = 50 + 0 -52 + 14x = 50 Add '52' to each side of the equation. -52 + 52 + 14x = 50 + 52 Combine like terms: -52 + 52 = 0 0 + 14x = 50 + 52 14x = 50 + 52 Combine like terms: 50 + 52 = 102 14x = 102 Divide each side by '14'. x = 7.285714286 Simplifying x = 7.285714286
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