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Simplifying 5 + 4(x + -5) = 6 + -8(x + -4) Reorder the terms: 5 + 4(-5 + x) = 6 + -8(x + -4) 5 + (-5 * 4 + x * 4) = 6 + -8(x + -4) 5 + (-20 + 4x) = 6 + -8(x + -4) Combine like terms: 5 + -20 = -15 -15 + 4x = 6 + -8(x + -4) Reorder the terms: -15 + 4x = 6 + -8(-4 + x) -15 + 4x = 6 + (-4 * -8 + x * -8) -15 + 4x = 6 + (32 + -8x) Combine like terms: 6 + 32 = 38 -15 + 4x = 38 + -8x Solving -15 + 4x = 38 + -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. -15 + 4x + 8x = 38 + -8x + 8x Combine like terms: 4x + 8x = 12x -15 + 12x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 12x = 38 + 0 -15 + 12x = 38 Add '15' to each side of the equation. -15 + 15 + 12x = 38 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 38 + 15 12x = 38 + 15 Combine like terms: 38 + 15 = 53 12x = 53 Divide each side by '12'. x = 4.416666667 Simplifying x = 4.416666667
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