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Simplifying 9 + 4(x + -5) = 8 + -8(x + -5) Reorder the terms: 9 + 4(-5 + x) = 8 + -8(x + -5) 9 + (-5 * 4 + x * 4) = 8 + -8(x + -5) 9 + (-20 + 4x) = 8 + -8(x + -5) Combine like terms: 9 + -20 = -11 -11 + 4x = 8 + -8(x + -5) Reorder the terms: -11 + 4x = 8 + -8(-5 + x) -11 + 4x = 8 + (-5 * -8 + x * -8) -11 + 4x = 8 + (40 + -8x) Combine like terms: 8 + 40 = 48 -11 + 4x = 48 + -8x Solving -11 + 4x = 48 + -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. -11 + 4x + 8x = 48 + -8x + 8x Combine like terms: 4x + 8x = 12x -11 + 12x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 12x = 48 + 0 -11 + 12x = 48 Add '11' to each side of the equation. -11 + 11 + 12x = 48 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 48 + 11 12x = 48 + 11 Combine like terms: 48 + 11 = 59 12x = 59 Divide each side by '12'. x = 4.916666667 Simplifying x = 4.916666667
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