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Simplifying 4(2x + 3) + -2(x + -8) = 32x + 1 Reorder the terms: 4(3 + 2x) + -2(x + -8) = 32x + 1 (3 * 4 + 2x * 4) + -2(x + -8) = 32x + 1 (12 + 8x) + -2(x + -8) = 32x + 1 Reorder the terms: 12 + 8x + -2(-8 + x) = 32x + 1 12 + 8x + (-8 * -2 + x * -2) = 32x + 1 12 + 8x + (16 + -2x) = 32x + 1 Reorder the terms: 12 + 16 + 8x + -2x = 32x + 1 Combine like terms: 12 + 16 = 28 28 + 8x + -2x = 32x + 1 Combine like terms: 8x + -2x = 6x 28 + 6x = 32x + 1 Reorder the terms: 28 + 6x = 1 + 32x Solving 28 + 6x = 1 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 28 + 6x + -32x = 1 + 32x + -32x Combine like terms: 6x + -32x = -26x 28 + -26x = 1 + 32x + -32x Combine like terms: 32x + -32x = 0 28 + -26x = 1 + 0 28 + -26x = 1 Add '-28' to each side of the equation. 28 + -28 + -26x = 1 + -28 Combine like terms: 28 + -28 = 0 0 + -26x = 1 + -28 -26x = 1 + -28 Combine like terms: 1 + -28 = -27 -26x = -27 Divide each side by '-26'. x = 1.038461538 Simplifying x = 1.038461538
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