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Simplifying 2 + 3(x + -8) = 3 + -8(x + -6) Reorder the terms: 2 + 3(-8 + x) = 3 + -8(x + -6) 2 + (-8 * 3 + x * 3) = 3 + -8(x + -6) 2 + (-24 + 3x) = 3 + -8(x + -6) Combine like terms: 2 + -24 = -22 -22 + 3x = 3 + -8(x + -6) Reorder the terms: -22 + 3x = 3 + -8(-6 + x) -22 + 3x = 3 + (-6 * -8 + x * -8) -22 + 3x = 3 + (48 + -8x) Combine like terms: 3 + 48 = 51 -22 + 3x = 51 + -8x Solving -22 + 3x = 51 + -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. -22 + 3x + 8x = 51 + -8x + 8x Combine like terms: 3x + 8x = 11x -22 + 11x = 51 + -8x + 8x Combine like terms: -8x + 8x = 0 -22 + 11x = 51 + 0 -22 + 11x = 51 Add '22' to each side of the equation. -22 + 22 + 11x = 51 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 51 + 22 11x = 51 + 22 Combine like terms: 51 + 22 = 73 11x = 73 Divide each side by '11'. x = 6.636363636 Simplifying x = 6.636363636
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