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Simplifying 4 + 8(x + -6) = 6 + -9(x + -8) Reorder the terms: 4 + 8(-6 + x) = 6 + -9(x + -8) 4 + (-6 * 8 + x * 8) = 6 + -9(x + -8) 4 + (-48 + 8x) = 6 + -9(x + -8) Combine like terms: 4 + -48 = -44 -44 + 8x = 6 + -9(x + -8) Reorder the terms: -44 + 8x = 6 + -9(-8 + x) -44 + 8x = 6 + (-8 * -9 + x * -9) -44 + 8x = 6 + (72 + -9x) Combine like terms: 6 + 72 = 78 -44 + 8x = 78 + -9x Solving -44 + 8x = 78 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -44 + 8x + 9x = 78 + -9x + 9x Combine like terms: 8x + 9x = 17x -44 + 17x = 78 + -9x + 9x Combine like terms: -9x + 9x = 0 -44 + 17x = 78 + 0 -44 + 17x = 78 Add '44' to each side of the equation. -44 + 44 + 17x = 78 + 44 Combine like terms: -44 + 44 = 0 0 + 17x = 78 + 44 17x = 78 + 44 Combine like terms: 78 + 44 = 122 17x = 122 Divide each side by '17'. x = 7.176470588 Simplifying x = 7.176470588
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