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Simplifying 6(2x + 1) = 2(4x + -5) Reorder the terms: 6(1 + 2x) = 2(4x + -5) (1 * 6 + 2x * 6) = 2(4x + -5) (6 + 12x) = 2(4x + -5) Reorder the terms: 6 + 12x = 2(-5 + 4x) 6 + 12x = (-5 * 2 + 4x * 2) 6 + 12x = (-10 + 8x) Solving 6 + 12x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 12x + -8x = -10 + 8x + -8x Combine like terms: 12x + -8x = 4x 6 + 4x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 4x = -10 + 0 6 + 4x = -10 Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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