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Simplifying 8 + 6(x + -4) = 9 + -8(x + -4) Reorder the terms: 8 + 6(-4 + x) = 9 + -8(x + -4) 8 + (-4 * 6 + x * 6) = 9 + -8(x + -4) 8 + (-24 + 6x) = 9 + -8(x + -4) Combine like terms: 8 + -24 = -16 -16 + 6x = 9 + -8(x + -4) Reorder the terms: -16 + 6x = 9 + -8(-4 + x) -16 + 6x = 9 + (-4 * -8 + x * -8) -16 + 6x = 9 + (32 + -8x) Combine like terms: 9 + 32 = 41 -16 + 6x = 41 + -8x Solving -16 + 6x = 41 + -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. -16 + 6x + 8x = 41 + -8x + 8x Combine like terms: 6x + 8x = 14x -16 + 14x = 41 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 14x = 41 + 0 -16 + 14x = 41 Add '16' to each side of the equation. -16 + 16 + 14x = 41 + 16 Combine like terms: -16 + 16 = 0 0 + 14x = 41 + 16 14x = 41 + 16 Combine like terms: 41 + 16 = 57 14x = 57 Divide each side by '14'. x = 4.071428571 Simplifying x = 4.071428571
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