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Simplifying 6(2x + 1) = 4(8x + -5) Reorder the terms: 6(1 + 2x) = 4(8x + -5) (1 * 6 + 2x * 6) = 4(8x + -5) (6 + 12x) = 4(8x + -5) Reorder the terms: 6 + 12x = 4(-5 + 8x) 6 + 12x = (-5 * 4 + 8x * 4) 6 + 12x = (-20 + 32x) Solving 6 + 12x = -20 + 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. 6 + 12x + -32x = -20 + 32x + -32x Combine like terms: 12x + -32x = -20x 6 + -20x = -20 + 32x + -32x Combine like terms: 32x + -32x = 0 6 + -20x = -20 + 0 6 + -20x = -20 Add '-6' to each side of the equation. 6 + -6 + -20x = -20 + -6 Combine like terms: 6 + -6 = 0 0 + -20x = -20 + -6 -20x = -20 + -6 Combine like terms: -20 + -6 = -26 -20x = -26 Divide each side by '-20'. x = 1.3 Simplifying x = 1.3
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