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Simplifying 2 + 4(3x + -6) = 5 + -3(2x + 1) Reorder the terms: 2 + 4(-6 + 3x) = 5 + -3(2x + 1) 2 + (-6 * 4 + 3x * 4) = 5 + -3(2x + 1) 2 + (-24 + 12x) = 5 + -3(2x + 1) Combine like terms: 2 + -24 = -22 -22 + 12x = 5 + -3(2x + 1) Reorder the terms: -22 + 12x = 5 + -3(1 + 2x) -22 + 12x = 5 + (1 * -3 + 2x * -3) -22 + 12x = 5 + (-3 + -6x) Combine like terms: 5 + -3 = 2 -22 + 12x = 2 + -6x Solving -22 + 12x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -22 + 12x + 6x = 2 + -6x + 6x Combine like terms: 12x + 6x = 18x -22 + 18x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 18x = 2 + 0 -22 + 18x = 2 Add '22' to each side of the equation. -22 + 22 + 18x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 18x = 2 + 22 18x = 2 + 22 Combine like terms: 2 + 22 = 24 18x = 24 Divide each side by '18'. x = 1.333333333 Simplifying x = 1.333333333
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