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Simplifying 8 + 8(x + -6) = 2 + -5(x + -6) Reorder the terms: 8 + 8(-6 + x) = 2 + -5(x + -6) 8 + (-6 * 8 + x * 8) = 2 + -5(x + -6) 8 + (-48 + 8x) = 2 + -5(x + -6) Combine like terms: 8 + -48 = -40 -40 + 8x = 2 + -5(x + -6) Reorder the terms: -40 + 8x = 2 + -5(-6 + x) -40 + 8x = 2 + (-6 * -5 + x * -5) -40 + 8x = 2 + (30 + -5x) Combine like terms: 2 + 30 = 32 -40 + 8x = 32 + -5x Solving -40 + 8x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -40 + 8x + 5x = 32 + -5x + 5x Combine like terms: 8x + 5x = 13x -40 + 13x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + 13x = 32 + 0 -40 + 13x = 32 Add '40' to each side of the equation. -40 + 40 + 13x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 13x = 32 + 40 13x = 32 + 40 Combine like terms: 32 + 40 = 72 13x = 72 Divide each side by '13'. x = 5.538461538 Simplifying x = 5.538461538
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