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Simplifying 5 + 8(x + -8) = 11 + -4(x + -6) Reorder the terms: 5 + 8(-8 + x) = 11 + -4(x + -6) 5 + (-8 * 8 + x * 8) = 11 + -4(x + -6) 5 + (-64 + 8x) = 11 + -4(x + -6) Combine like terms: 5 + -64 = -59 -59 + 8x = 11 + -4(x + -6) Reorder the terms: -59 + 8x = 11 + -4(-6 + x) -59 + 8x = 11 + (-6 * -4 + x * -4) -59 + 8x = 11 + (24 + -4x) Combine like terms: 11 + 24 = 35 -59 + 8x = 35 + -4x Solving -59 + 8x = 35 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -59 + 8x + 4x = 35 + -4x + 4x Combine like terms: 8x + 4x = 12x -59 + 12x = 35 + -4x + 4x Combine like terms: -4x + 4x = 0 -59 + 12x = 35 + 0 -59 + 12x = 35 Add '59' to each side of the equation. -59 + 59 + 12x = 35 + 59 Combine like terms: -59 + 59 = 0 0 + 12x = 35 + 59 12x = 35 + 59 Combine like terms: 35 + 59 = 94 12x = 94 Divide each side by '12'. x = 7.833333333 Simplifying x = 7.833333333
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