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Simplifying 2 + 3(4x + -6) = 6 + -5(2x + 1) Reorder the terms: 2 + 3(-6 + 4x) = 6 + -5(2x + 1) 2 + (-6 * 3 + 4x * 3) = 6 + -5(2x + 1) 2 + (-18 + 12x) = 6 + -5(2x + 1) Combine like terms: 2 + -18 = -16 -16 + 12x = 6 + -5(2x + 1) Reorder the terms: -16 + 12x = 6 + -5(1 + 2x) -16 + 12x = 6 + (1 * -5 + 2x * -5) -16 + 12x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -16 + 12x = 1 + -10x Solving -16 + 12x = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -16 + 12x + 10x = 1 + -10x + 10x Combine like terms: 12x + 10x = 22x -16 + 22x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 22x = 1 + 0 -16 + 22x = 1 Add '16' to each side of the equation. -16 + 16 + 22x = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 22x = 1 + 16 22x = 1 + 16 Combine like terms: 1 + 16 = 17 22x = 17 Divide each side by '22'. x = 0.7727272727 Simplifying x = 0.7727272727
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