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Simplifying (5x + -8) + (8x + -32) = 64 Reorder the terms: (-8 + 5x) + (8x + -32) = 64 Remove parenthesis around (-8 + 5x) -8 + 5x + (8x + -32) = 64 Reorder the terms: -8 + 5x + (-32 + 8x) = 64 Remove parenthesis around (-32 + 8x) -8 + 5x + -32 + 8x = 64 Reorder the terms: -8 + -32 + 5x + 8x = 64 Combine like terms: -8 + -32 = -40 -40 + 5x + 8x = 64 Combine like terms: 5x + 8x = 13x -40 + 13x = 64 Solving -40 + 13x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 13x = 64 + 40 Combine like terms: -40 + 40 = 0 0 + 13x = 64 + 40 13x = 64 + 40 Combine like terms: 64 + 40 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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