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Simplifying 6(7x + 5) + 2 = 4(8x + 3) + 11x Reorder the terms: 6(5 + 7x) + 2 = 4(8x + 3) + 11x (5 * 6 + 7x * 6) + 2 = 4(8x + 3) + 11x (30 + 42x) + 2 = 4(8x + 3) + 11x Reorder the terms: 30 + 2 + 42x = 4(8x + 3) + 11x Combine like terms: 30 + 2 = 32 32 + 42x = 4(8x + 3) + 11x Reorder the terms: 32 + 42x = 4(3 + 8x) + 11x 32 + 42x = (3 * 4 + 8x * 4) + 11x 32 + 42x = (12 + 32x) + 11x Combine like terms: 32x + 11x = 43x 32 + 42x = 12 + 43x Solving 32 + 42x = 12 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 32 + 42x + -43x = 12 + 43x + -43x Combine like terms: 42x + -43x = -1x 32 + -1x = 12 + 43x + -43x Combine like terms: 43x + -43x = 0 32 + -1x = 12 + 0 32 + -1x = 12 Add '-32' to each side of the equation. 32 + -32 + -1x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 12 + -32 -1x = 12 + -32 Combine like terms: 12 + -32 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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