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Simplifying 9x + -1(-4x + 8) = x + 64 Reorder the terms: 9x + -1(8 + -4x) = x + 64 9x + (8 * -1 + -4x * -1) = x + 64 9x + (-8 + 4x) = x + 64 Reorder the terms: -8 + 9x + 4x = x + 64 Combine like terms: 9x + 4x = 13x -8 + 13x = x + 64 Reorder the terms: -8 + 13x = 64 + x Solving -8 + 13x = 64 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 13x + -1x = 64 + x + -1x Combine like terms: 13x + -1x = 12x -8 + 12x = 64 + x + -1x Combine like terms: x + -1x = 0 -8 + 12x = 64 + 0 -8 + 12x = 64 Add '8' to each side of the equation. -8 + 8 + 12x = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 64 + 8 12x = 64 + 8 Combine like terms: 64 + 8 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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