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Simplifying 3(2 + -5x) + -2(1 + -9x) = 64 (2 * 3 + -5x * 3) + -2(1 + -9x) = 64 (6 + -15x) + -2(1 + -9x) = 64 6 + -15x + (1 * -2 + -9x * -2) = 64 6 + -15x + (-2 + 18x) = 64 Reorder the terms: 6 + -2 + -15x + 18x = 64 Combine like terms: 6 + -2 = 4 4 + -15x + 18x = 64 Combine like terms: -15x + 18x = 3x 4 + 3x = 64 Solving 4 + 3x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 64 + -4 3x = 64 + -4 Combine like terms: 64 + -4 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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