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Simplifying 2 + 8(x + -4) = 7 + -5(x + -5) Reorder the terms: 2 + 8(-4 + x) = 7 + -5(x + -5) 2 + (-4 * 8 + x * 8) = 7 + -5(x + -5) 2 + (-32 + 8x) = 7 + -5(x + -5) Combine like terms: 2 + -32 = -30 -30 + 8x = 7 + -5(x + -5) Reorder the terms: -30 + 8x = 7 + -5(-5 + x) -30 + 8x = 7 + (-5 * -5 + x * -5) -30 + 8x = 7 + (25 + -5x) Combine like terms: 7 + 25 = 32 -30 + 8x = 32 + -5x Solving -30 + 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. -30 + 8x + 5x = 32 + -5x + 5x Combine like terms: 8x + 5x = 13x -30 + 13x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 13x = 32 + 0 -30 + 13x = 32 Add '30' to each side of the equation. -30 + 30 + 13x = 32 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 32 + 30 13x = 32 + 30 Combine like terms: 32 + 30 = 62 13x = 62 Divide each side by '13'. x = 4.769230769 Simplifying x = 4.769230769
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