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Simplifying 64 + -1(4x + 5) = 4(x + 8) + x Reorder the terms: 64 + -1(5 + 4x) = 4(x + 8) + x 64 + (5 * -1 + 4x * -1) = 4(x + 8) + x 64 + (-5 + -4x) = 4(x + 8) + x Combine like terms: 64 + -5 = 59 59 + -4x = 4(x + 8) + x Reorder the terms: 59 + -4x = 4(8 + x) + x 59 + -4x = (8 * 4 + x * 4) + x 59 + -4x = (32 + 4x) + x Combine like terms: 4x + x = 5x 59 + -4x = 32 + 5x Solving 59 + -4x = 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. 59 + -4x + -5x = 32 + 5x + -5x Combine like terms: -4x + -5x = -9x 59 + -9x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 59 + -9x = 32 + 0 59 + -9x = 32 Add '-59' to each side of the equation. 59 + -59 + -9x = 32 + -59 Combine like terms: 59 + -59 = 0 0 + -9x = 32 + -59 -9x = 32 + -59 Combine like terms: 32 + -59 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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