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Simplifying 4(4 + 4x) + -1(8x + -12) = 64 (4 * 4 + 4x * 4) + -1(8x + -12) = 64 (16 + 16x) + -1(8x + -12) = 64 Reorder the terms: 16 + 16x + -1(-12 + 8x) = 64 16 + 16x + (-12 * -1 + 8x * -1) = 64 16 + 16x + (12 + -8x) = 64 Reorder the terms: 16 + 12 + 16x + -8x = 64 Combine like terms: 16 + 12 = 28 28 + 16x + -8x = 64 Combine like terms: 16x + -8x = 8x 28 + 8x = 64 Solving 28 + 8x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8x = 64 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 64 + -28 8x = 64 + -28 Combine like terms: 64 + -28 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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