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Simplifying 64 + -1(4x + 14) = 4(x + 8) + x Reorder the terms: 64 + -1(14 + 4x) = 4(x + 8) + x 64 + (14 * -1 + 4x * -1) = 4(x + 8) + x 64 + (-14 + -4x) = 4(x + 8) + x Combine like terms: 64 + -14 = 50 50 + -4x = 4(x + 8) + x Reorder the terms: 50 + -4x = 4(8 + x) + x 50 + -4x = (8 * 4 + x * 4) + x 50 + -4x = (32 + 4x) + x Combine like terms: 4x + x = 5x 50 + -4x = 32 + 5x Solving 50 + -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. 50 + -4x + -5x = 32 + 5x + -5x Combine like terms: -4x + -5x = -9x 50 + -9x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + -9x = 32 + 0 50 + -9x = 32 Add '-50' to each side of the equation. 50 + -50 + -9x = 32 + -50 Combine like terms: 50 + -50 = 0 0 + -9x = 32 + -50 -9x = 32 + -50 Combine like terms: 32 + -50 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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