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Simplifying 9 + 4(x + -8) = 7 + -8(x + -5) Reorder the terms: 9 + 4(-8 + x) = 7 + -8(x + -5) 9 + (-8 * 4 + x * 4) = 7 + -8(x + -5) 9 + (-32 + 4x) = 7 + -8(x + -5) Combine like terms: 9 + -32 = -23 -23 + 4x = 7 + -8(x + -5) Reorder the terms: -23 + 4x = 7 + -8(-5 + x) -23 + 4x = 7 + (-5 * -8 + x * -8) -23 + 4x = 7 + (40 + -8x) Combine like terms: 7 + 40 = 47 -23 + 4x = 47 + -8x Solving -23 + 4x = 47 + -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. -23 + 4x + 8x = 47 + -8x + 8x Combine like terms: 4x + 8x = 12x -23 + 12x = 47 + -8x + 8x Combine like terms: -8x + 8x = 0 -23 + 12x = 47 + 0 -23 + 12x = 47 Add '23' to each side of the equation. -23 + 23 + 12x = 47 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 47 + 23 12x = 47 + 23 Combine like terms: 47 + 23 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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