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Simplifying 2 + 4(3x + -4) = 6 + -5(2x + 1) Reorder the terms: 2 + 4(-4 + 3x) = 6 + -5(2x + 1) 2 + (-4 * 4 + 3x * 4) = 6 + -5(2x + 1) 2 + (-16 + 12x) = 6 + -5(2x + 1) Combine like terms: 2 + -16 = -14 -14 + 12x = 6 + -5(2x + 1) Reorder the terms: -14 + 12x = 6 + -5(1 + 2x) -14 + 12x = 6 + (1 * -5 + 2x * -5) -14 + 12x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -14 + 12x = 1 + -10x Solving -14 + 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. -14 + 12x + 10x = 1 + -10x + 10x Combine like terms: 12x + 10x = 22x -14 + 22x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 22x = 1 + 0 -14 + 22x = 1 Add '14' to each side of the equation. -14 + 14 + 22x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 22x = 1 + 14 22x = 1 + 14 Combine like terms: 1 + 14 = 15 22x = 15 Divide each side by '22'. x = 0.6818181818 Simplifying x = 0.6818181818
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