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Simplifying 2 + 4(3x + -6) = 7 + -5(2x + 1) Reorder the terms: 2 + 4(-6 + 3x) = 7 + -5(2x + 1) 2 + (-6 * 4 + 3x * 4) = 7 + -5(2x + 1) 2 + (-24 + 12x) = 7 + -5(2x + 1) Combine like terms: 2 + -24 = -22 -22 + 12x = 7 + -5(2x + 1) Reorder the terms: -22 + 12x = 7 + -5(1 + 2x) -22 + 12x = 7 + (1 * -5 + 2x * -5) -22 + 12x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 -22 + 12x = 2 + -10x Solving -22 + 12x = 2 + -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. -22 + 12x + 10x = 2 + -10x + 10x Combine like terms: 12x + 10x = 22x -22 + 22x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -22 + 22x = 2 + 0 -22 + 22x = 2 Add '22' to each side of the equation. -22 + 22 + 22x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 22x = 2 + 22 22x = 2 + 22 Combine like terms: 2 + 22 = 24 22x = 24 Divide each side by '22'. x = 1.090909091 Simplifying x = 1.090909091
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